{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T22:22:51Z","timestamp":1773526971825,"version":"3.50.1"},"reference-count":65,"publisher":"Springer Science and Business Media LLC","issue":"35","license":[{"start":{"date-parts":[[2024,9,21]],"date-time":"2024-09-21T00:00:00Z","timestamp":1726876800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,9,21]],"date-time":"2024-09-21T00:00:00Z","timestamp":1726876800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2024,12]]},"DOI":"10.1007\/s00521-024-10361-5","type":"journal-article","created":{"date-parts":[[2024,9,21]],"date-time":"2024-09-21T09:01:41Z","timestamp":1726909301000},"page":"22417-22428","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Simulation of fractional order mathematical model of robots for detection of coronavirus using Levenberg\u2013Marquardt backpropagation neural network"],"prefix":"10.1007","volume":"36","author":[{"given":"Zulqurnain","family":"Sabir","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed R.","family":"Ali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Sadat","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,9,21]]},"reference":[{"issue":"2","key":"10361_CR1","first-page":"96","volume":"9","author":"S Side","year":"2013","unstructured":"Side S, Noorani MSM (2013) A SIR model for spread of dengue fever disease (simulation for South Sulawesi, Indonesia and Selangor, Malaysia). World J Modell Simul 9(2):96\u2013105","journal-title":"World J Modell Simul"},{"issue":"7446","key":"10361_CR2","doi-asserted-by":"publisher","first-page":"504","DOI":"10.1038\/nature12060","volume":"496","author":"S Bhatt","year":"2013","unstructured":"Bhatt S, Gething PW, Brady OJ, Messina JP, Farlow AW, Moyes CL, Drake JM, Brownstein JS, Hoen AG, Sankoh O, Myers MF (2013) The global distribution and burden of dengue. Nature 496(7446):504\u2013507. https:\/\/doi.org\/10.1038\/nature12060","journal-title":"Nature"},{"issue":"8","key":"10361_CR3","doi-asserted-by":"publisher","first-page":"e2005712","DOI":"10.1371\/journal.pbio.2005712","volume":"16","author":"M Bushman","year":"2018","unstructured":"Bushman M, Antia R, Udhayakumar V, de Roode JC (2018) Within-host competition can delay evolution of drug resistance in malaria. PLoS Biol 16(8):e2005712","journal-title":"PLoS Biol"},{"issue":"7","key":"10361_CR4","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1016\/0047-2484(80)90063-9","volume":"9","author":"DG Smith","year":"1980","unstructured":"Smith DG, Ferrell RE (1980) A family study of the hemoglobin polymorphism in Macaca fascicularis. J Hum Evol 9(7):557\u2013563. https:\/\/doi.org\/10.1016\/0047-2484(80)90063-9","journal-title":"J Hum Evol"},{"issue":"1","key":"10361_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s12936-019-2943-3","volume":"18","author":"A Kakuru","year":"2019","unstructured":"Kakuru A, Staedke SG, Dorsey G, Rogerson S, Chandramohan D (2019) Impact of Plasmodium falciparum malaria and intermittent preventive treatment of malaria in pregnancy on the risk of malaria in infants: a systematic review. Malar J 18(1):1\u201313","journal-title":"Malar J"},{"issue":"10","key":"10361_CR6","doi-asserted-by":"publisher","first-page":"3611","DOI":"10.3934\/dcdss.2020431","volume":"14","author":"Y Guerrero-S\u00e1nchez","year":"2021","unstructured":"Guerrero-S\u00e1nchez Y, Umar M, Sabir Z, Guirao JL, Raja MAZ (2021) Solving a class of biological HIV infection model of latently infected cells using heuristic approach. Discret Cont Dyn Sys S 14(10):3611. https:\/\/doi.org\/10.3934\/dcdss.2020431","journal-title":"Discret Cont Dyn Sys S"},{"key":"10361_CR7","doi-asserted-by":"publisher","first-page":"104235","DOI":"10.1016\/j.rinp.2021.104235","volume":"25","author":"M Umar","year":"2021","unstructured":"Umar M, Sabir Z, Raja MAZ, Baskonus HM, Yao SW, Ilhan E (2021) A novel study of Morlet neural networks to solve the nonlinear HIV infection system of latently infected cells. Results Phys 25:104235","journal-title":"Results Phys"},{"key":"10361_CR8","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1016\/j.matcom.2021.04.008","volume":"188","author":"M Umar","year":"2021","unstructured":"Umar M, Sabir Z, Raja MAZ, Aguilar JG, Amin F, Shoaib M (2021) Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. Math Comput Simul 188:241\u2013253. https:\/\/doi.org\/10.1016\/j.matcom.2021.04.008","journal-title":"Math Comput Simul"},{"issue":"6086","key":"10361_CR9","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1136\/bmj.2.6086.541","volume":"2","author":"RT Emond","year":"1977","unstructured":"Emond RT, Evans B, Bowen ET, Lloyd G (1977) A case of Ebola virus infection. Br Med J 2(6086):541\u2013544. https:\/\/doi.org\/10.1136\/bmj.2.6086.541","journal-title":"Br Med J"},{"issue":"10","key":"10361_CR10","doi-asserted-by":"publisher","first-page":"1628","DOI":"10.3390\/sym12101628","volume":"12","author":"M Umar","year":"2020","unstructured":"Umar M, Sabir Z, Raja MAZ, Shoaib M, Gupta M, S\u00e1nchez YG (2020) A stochastic intelligent computing with neuro-evolution heuristics for nonlinear SITR system of novel COVID-19 dynamics. Symmetry 12(10):1628. https:\/\/doi.org\/10.3390\/sym12101628","journal-title":"Symmetry"},{"issue":"08","key":"10361_CR11","doi-asserted-by":"publisher","first-page":"2040026","DOI":"10.1142\/S0218348X20400265","volume":"28","author":"YG S\u00e1nchez","year":"2020","unstructured":"S\u00e1nchez YG, Sabir Z, Guirao JL (2020) Design of a nonlinear SITR fractal model based on the dynamics of a novel coronavirus (COVID-19). Fractals 28(08):2040026. https:\/\/doi.org\/10.1142\/S0218348X20400265","journal-title":"Fractals"},{"issue":"3","key":"10361_CR12","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1093\/infdis\/155.3.445","volume":"155","author":"JB McCormick","year":"1987","unstructured":"McCormick JB, King IJ, Webb PA, Johnson KM, O\u2019Sullivan R, Smith ES, Trippel S, Tong TC (1987) A case-control study of the clinical diagnosis and course of Lassa fever. J Infect Dis 155(3):445\u2013455. https:\/\/doi.org\/10.1093\/infdis\/155.3.445","journal-title":"J Infect Dis"},{"key":"10361_CR13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218348X21400351","author":"A Elsonbaty","year":"2021","unstructured":"Elsonbaty A et al (2021) Dynamical analysis of a novel discrete fractional SITRS model for COVID-19. Fractals. https:\/\/doi.org\/10.1142\/S0218348X21400351","journal-title":"Fractals"},{"key":"10361_CR14","doi-asserted-by":"publisher","first-page":"103610","DOI":"10.1142\/S0218348X21400351","volume":"19","author":"SS Redhwan","year":"2020","unstructured":"Redhwan SS, Abdo MS, Shah K, Abdeljawad T, Dawood S, Abdo HA, Shaikh SL (2020) Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator. Results Phys 19:103610. https:\/\/doi.org\/10.1142\/S0218348X21400351","journal-title":"Results Phys"},{"issue":"1","key":"10361_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s13662-020-02831-6","volume":"2020","author":"W Gao","year":"2020","unstructured":"Gao W, Baskonus HM, Shi L (2020) New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system. Adv Differ Equ 2020(1):1\u201311","journal-title":"Adv Differ Equ"},{"issue":"3","key":"10361_CR16","doi-asserted-by":"publisher","first-page":"228","DOI":"10.3390\/axioms10030228","volume":"10","author":"MB Jeelani","year":"2021","unstructured":"Jeelani MB, Alnahdi AS, Abdo MS, Abdulwasaa MA, Shah K, Wahash HA (2021) Mathematical Modeling and Forecasting of COVID-19 in Saudi Arabia under fractal-fractional derivative in caputo sense with power-law. Axioms 10(3):228. https:\/\/doi.org\/10.3390\/axioms10030228","journal-title":"Axioms"},{"key":"10361_CR17","doi-asserted-by":"crossref","unstructured":"Sabir Z, Umar M, Raja MAZ, Baleanu D (2021) Applications of Gudermannian neural network for solving the SITR fractal system. In: Fractals, p 2150250","DOI":"10.1142\/S0218348X21502509"},{"issue":"1","key":"10361_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s13662-021-03316-w","volume":"2021","author":"ST Thabet","year":"2021","unstructured":"Thabet ST, Abdo MS, Shah K (2021) Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo-Fabrizio derivative. Adv Difference Equ 2021(1):1\u201317","journal-title":"Adv Difference Equ"},{"key":"10361_CR19","doi-asserted-by":"publisher","first-page":"105340","DOI":"10.1016\/j.dib.2020.105340","volume":"29","author":"D Benvenuto","year":"2020","unstructured":"Benvenuto D et al (2020) Application of the ARIMA model on the COVID-2019 epidemic dataset. Data Brief 29:105340. https:\/\/doi.org\/10.1016\/j.dib.2020.105340","journal-title":"Data Brief"},{"issue":"2","key":"10361_CR20","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1080\/14461242.2020.1764376","volume":"29","author":"T Rhodes","year":"2020","unstructured":"Rhodes T et al (2020) Mathematical models as public troubles in COVID-19 infection control: following the numbers. Health Sociol Rev 29(2):177\u2013194. https:\/\/doi.org\/10.1080\/14461242.2020.1764376","journal-title":"Health Sociol Rev"},{"key":"10361_CR21","unstructured":"Mustafa SK et al. (2020) Brief review of the mathematical models for analyzing and forecasting transmission of COVID-19"},{"key":"10361_CR22","doi-asserted-by":"crossref","unstructured":"Nesteruk I (2021) Estimates of the COVID-19 pandemic dynamics in Ukraine based on two data sets. In: medRxiv","DOI":"10.1101\/2021.02.18.21252000"},{"key":"10361_CR23","unstructured":"Sivakumar A (2020) Review of mathematical models to predict the rate of spread and control of COVID-19 in India. In: Bull World Health Organ"},{"key":"10361_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s12916-020-01628-4","volume":"18","author":"RN Thompson","year":"2020","unstructured":"Thompson RN (2020) Epidemiological models are important tools for guiding COVID-19 interventions. BMC Med 18:1\u20134. https:\/\/doi.org\/10.1186\/s12916-020-01628-4","journal-title":"BMC Med"},{"issue":"1","key":"10361_CR25","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1080\/16583655.2021.1944488","volume":"15","author":"IZ Sadiq","year":"2021","unstructured":"Sadiq IZ, Abubakar FS, Dan-Iya BI (2021) Role of nanoparticles in tackling COVID-19 pandemic: a bio-nanomedical approach. J Taibah Univ Sci 15(1):198\u2013207. https:\/\/doi.org\/10.1080\/16583655.2021.1944488","journal-title":"J Taibah Univ Sci"},{"key":"10361_CR26","doi-asserted-by":"publisher","first-page":"105664","DOI":"10.1016\/j.cmpb.2020.105664","volume":"196","author":"GB Libotte","year":"2020","unstructured":"Libotte GB, Lobato FS, Platt GM, Neto AJS (2020) Determination of an optimal control strategy for vaccine administration in COVID-19 pandemic treatment. Comput Method Progr Biomed 196:105664","journal-title":"Comput Method Progr Biomed"},{"key":"10361_CR27","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/j.idm.2020.11.005","volume":"6","author":"AB Gumel","year":"2021","unstructured":"Gumel AB et al (2021) A primer on using mathematics to understand COVID-19 dynamics: Modeling, analysis and simulations. Infect Dis Modell 6:148\u2013168. https:\/\/doi.org\/10.1016\/j.idm.2020.11.005","journal-title":"Infect Dis Modell"},{"issue":"08","key":"10361_CR28","doi-asserted-by":"publisher","first-page":"2040026","DOI":"10.1142\/S0218348X20400265","volume":"28","author":"YG S\u00e1nchez","year":"2020","unstructured":"S\u00e1nchez YG et al (2020) Design of a nonlinear SITR fractal model based on the dynamics of a novel coronavirus (COVID-19). Fractals 28(08):2040026","journal-title":"Fractals"},{"issue":"24","key":"10361_CR29","doi-asserted-by":"publisher","first-page":"9488","DOI":"10.3390\/ijerph17249488","volume":"17","author":"F Ortenzi","year":"2020","unstructured":"Ortenzi F et al (2020) A transdisciplinary analysis of covid-19 in Italy: the most affected country in Europe. Int J Environ Res Public Health 17(24):9488. https:\/\/doi.org\/10.3390\/ijerph17249488","journal-title":"Int J Environ Res Public Health"},{"key":"10361_CR30","doi-asserted-by":"publisher","DOI":"10.1142\/S0218348X21502509","author":"Z Sabir","year":"2021","unstructured":"Sabir Z, Umar M, Baleanu Raja MAZ, D, (2021) Applications of Gudermannian neural network for solving the SITR fractal system. Fractals. https:\/\/doi.org\/10.1142\/S0218348X21502509","journal-title":"Fractals"},{"key":"10361_CR31","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1016\/j.idm.2020.06.002","volume":"5","author":"AJIDM Anirudh","year":"2020","unstructured":"Anirudh AJIDM (2020) Mathematical modeling and the transmission dynamics in predicting the Covid-19-What next in combating the pandemic. Infect Dis Modell 5:366\u2013374. https:\/\/doi.org\/10.1016\/j.idm.2020.06.002","journal-title":"Infect Dis Modell"},{"issue":"6","key":"10361_CR32","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1016\/S1473-3099(21)00143-2","volume":"21","author":"S Moore","year":"2021","unstructured":"Moore S et al (2021) Vaccination and non-pharmaceutical interventions for COVID-19: a mathematical modelling study. Lancet Infect Dis 21(6):793\u2013802. https:\/\/doi.org\/10.1016\/S1473-3099(21)00143-2","journal-title":"Lancet Infect Dis"},{"issue":"1","key":"10361_CR33","doi-asserted-by":"publisher","first-page":"1613","DOI":"10.1080\/16583655.2020.1848982","volume":"14","author":"Y Umar","year":"2020","unstructured":"Umar Y (2020) Theoretical studies of the rotational and tautomeric states, electronic and spectroscopic properties of favipiravir and its structural analogues: a potential drug for the treatment of COVID-19. J Taibah Univ Sci 14(1):1613\u20131625. https:\/\/doi.org\/10.1080\/16583655.2020.1848982","journal-title":"J Taibah Univ Sci"},{"issue":"1","key":"10361_CR34","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s13662-019-2438-0","volume":"2020","author":"Z Zhang","year":"2020","unstructured":"Zhang Z et al (2020) Dynamics of COVID-19 mathematical model with stochastic perturbation. Adv Differ Equ 2020(1):1\u201312","journal-title":"Adv Differ Equ"},{"issue":"3","key":"10361_CR35","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1080\/13658816.2021.1873999","volume":"35","author":"X Chen","year":"2021","unstructured":"Chen X et al (2021) Compliance and containment in social distancing: mathematical modeling of COVID-19 across townships. Int J Geogr Inf Sci 35(3):446\u2013465. https:\/\/doi.org\/10.1080\/13658816.2021.1873999","journal-title":"Int J Geogr Inf Sci"},{"issue":"1","key":"10361_CR36","doi-asserted-by":"publisher","first-page":"35","DOI":"10.2478\/AMNS.2019.1.00004","volume":"4","author":"A Yoku\u015f","year":"2019","unstructured":"Yoku\u015f A, G\u00fclbahar S (2019) Numerical solutions with linearization techniques of the fractional Harry Dym equation. Appl Math Nonlinear Sci 4(1):35\u201342. https:\/\/doi.org\/10.2478\/AMNS.2019.1.00004","journal-title":"Appl Math Nonlinear Sci"},{"issue":"1","key":"10361_CR37","doi-asserted-by":"publisher","first-page":"171","DOI":"10.2478\/amns.2020.1.00016","volume":"5","author":"E \u0130lhan","year":"2020","unstructured":"\u0130lhan E, K\u0131ymaz \u0130O (2020) A generalization of truncated M-fractional derivative and applications to fractional differential equations. Appl Math Nonlinear Sci 5(1):171\u2013188. https:\/\/doi.org\/10.2478\/amns.2020.1.00016","journal-title":"Appl Math Nonlinear Sci"},{"issue":"1","key":"10361_CR38","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1016\/j.amc.2006.08.104","volume":"187","author":"B Bonilla","year":"2007","unstructured":"Bonilla B, Rivero M, Trujillo JJ (2007) On systems of linear fractional differential equations with constant coefficients. Appl Math Comput 187(1):68\u201378. https:\/\/doi.org\/10.1016\/j.amc.2006.08.104","journal-title":"Appl Math Comput"},{"issue":"41","key":"10361_CR39","doi-asserted-by":"publisher","first-page":"3730","DOI":"10.1016\/j.physleta.2009.08.017","volume":"373","author":"F Yu","year":"2009","unstructured":"Yu F (2009) Integrable coupling system of fractional soliton equation hierarchy. Phys Lett A 373(41):3730\u20133733. https:\/\/doi.org\/10.1016\/j.physleta.2009.08.017","journal-title":"Phys Lett A"},{"issue":"1","key":"10361_CR40","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jmaa.2006.12.036","volume":"334","author":"RW Ibrahim","year":"2007","unstructured":"Ibrahim RW, Momani S (2007) On the existence and uniqueness of solutions of a class of fractional differential equations. J Math Anal Appl 334(1):1\u201310. https:\/\/doi.org\/10.1016\/j.jmaa.2006.12.036","journal-title":"J Math Anal Appl"},{"issue":"2","key":"10361_CR41","doi-asserted-by":"publisher","first-page":"1210","DOI":"10.1016\/j.jmaa.2007.08.001","volume":"339","author":"S Momani","year":"2008","unstructured":"Momani S, Ibrahim RW (2008) On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras. J Math Anal Appl 339(2):1210\u20131219. https:\/\/doi.org\/10.1016\/j.jmaa.2007.08.001","journal-title":"J Math Anal Appl"},{"issue":"2","key":"10361_CR42","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1006\/jmaa.2000.7194","volume":"265","author":"K Diethelm","year":"2002","unstructured":"Diethelm K, Ford NJ (2002) Analysis of fractional differential equations. J Math Anal Appl 265(2):229\u2013248. https:\/\/doi.org\/10.1006\/jmaa.2000.7194","journal-title":"J Math Anal Appl"},{"key":"10361_CR43","doi-asserted-by":"publisher","first-page":"109960","DOI":"10.1016\/j.chaos.2020.109960","volume":"138","author":"B Ghanbari","year":"2020","unstructured":"Ghanbari B et al (2020) Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population. Chaos, Solitons Fractals 138:109960. https:\/\/doi.org\/10.1016\/j.chaos.2020.109960","journal-title":"Chaos, Solitons Fractals"},{"key":"10361_CR44","doi-asserted-by":"publisher","first-page":"109754","DOI":"10.1016\/j.chaos.2020.109754","volume":"135","author":"K Shah","year":"2020","unstructured":"Shah K, Alqudah MA, Jarad F, Abdeljawad T (2020) Semi-analytical study of Pine Wilt disease model with convex rate under Caputo\u2013Febrizio fractional order derivative. Chaos, Solitons Fractals 135:109754","journal-title":"Chaos, Solitons Fractals"},{"key":"10361_CR45","doi-asserted-by":"publisher","first-page":"1072","DOI":"10.1016\/j.physa.2019.04.017","volume":"523","author":"KM Owolabi","year":"2019","unstructured":"Owolabi KM, Hammouch Z (2019) Spatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivative. Physica A Stat Mech Appl 523:1072\u20131090. https:\/\/doi.org\/10.1016\/j.physa.2019.04.017","journal-title":"Physica A Stat Mech Appl"},{"issue":"3Part A","key":"10361_CR46","doi-asserted-by":"publisher","first-page":"1677","DOI":"10.2298\/TSCI180320239Y","volume":"23","author":"XJ Yang","year":"2019","unstructured":"Yang XJ, Ragulskis M, Tana T (2019) A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer. Therm Sci 23(3Part A):1677\u20131681. https:\/\/doi.org\/10.2298\/TSCI180320239Y","journal-title":"Therm Sci"},{"issue":"4","key":"10361_CR47","doi-asserted-by":"publisher","first-page":"1736","DOI":"10.1002\/mma.5999","volume":"43","author":"B Ghanbari","year":"2020","unstructured":"Ghanbari B, Djilali S (2020) Mathematical and numerical analysis of a three-species predator-prey model with herd behavior and time fractional-order derivative. Math Method Appl Sci 43(4):1736\u20131752. https:\/\/doi.org\/10.1002\/mma.5999","journal-title":"Math Method Appl Sci"},{"key":"10361_CR48","doi-asserted-by":"publisher","first-page":"758","DOI":"10.1016\/j.geoderma.2018.10.025","volume":"337","author":"Y Hong","year":"2019","unstructured":"Hong Y, Liu Y, Chen Y, Liu Y, Yu L, Liu Y, Cheng H (2019) Application of fractional-order derivative in the quantitative estimation of soil organic matter content through visible and near-infrared spectroscopy. Geoderma 337:758\u2013769. https:\/\/doi.org\/10.1016\/j.geoderma.2018.10.025","journal-title":"Geoderma"},{"key":"10361_CR49","doi-asserted-by":"publisher","first-page":"109880","DOI":"10.1016\/j.chaos.2020.109880","volume":"138","author":"HM Srivastava","year":"2020","unstructured":"Srivastava HM, Dubey VP, Kumar R, Singh J, Kumar J, Baleanu D (2020) An efficient computational approach for a fractional-order biological population model with carrying capacity. Chaos Solitons Fractals 138:109880","journal-title":"Chaos Solitons Fractals"},{"issue":"01","key":"10361_CR50","doi-asserted-by":"publisher","first-page":"2240017","DOI":"10.1142\/S0218348X22400175","volume":"30","author":"A Din","year":"2022","unstructured":"Din A, Li Y, Khan FM, Khan ZU, Liu P (2022) On analysis of fractional order mathematical model of Hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Fractals 30(01):2240017. https:\/\/doi.org\/10.1142\/S0218348X22400175","journal-title":"Fractals"},{"issue":"1","key":"10361_CR51","doi-asserted-by":"publisher","first-page":"351","DOI":"10.3934\/mbe.2022018","volume":"19","author":"Z Sabir","year":"2022","unstructured":"Sabir Z et al (2022) Numerical investigations of the nonlinear smoke model using the Gudermannian neural networks. Math Biosci Eng 19(1):351\u2013370. https:\/\/doi.org\/10.3934\/mbe.2022018","journal-title":"Math Biosci Eng"},{"issue":"4","key":"10361_CR52","doi-asserted-by":"publisher","first-page":"176","DOI":"10.3390\/fractalfract5040176","volume":"5","author":"Z Sabir","year":"2021","unstructured":"Sabir Z et al (2021) An efficient stochastic numerical computing framework for the nonlinear higher order singular models. Fractal Fract 5(4):176. https:\/\/doi.org\/10.3390\/fractalfract5040176","journal-title":"Fractal Fract"},{"issue":"6","key":"10361_CR53","doi-asserted-by":"publisher","first-page":"5935","DOI":"10.1016\/j.aej.2021.04.001","volume":"60","author":"Z Sabir","year":"2021","unstructured":"Sabir Z et al (2021) Design of Morlet Wavelet neural network for solving the higher order singular nonlinear differential equations. Alex Eng J 60(6):5935\u20135947. https:\/\/doi.org\/10.1016\/j.aej.2021.04.001","journal-title":"Alex Eng J"},{"key":"10361_CR54","doi-asserted-by":"publisher","first-page":"224","DOI":"10.3389\/fphy.2020.00224","volume":"8","author":"Z Sabir","year":"2020","unstructured":"Sabir Z et al (2020) A neuro-swarming intelligence-based computing for second order singular periodic non-linear boundary value problems. Front Phys 8:224. https:\/\/doi.org\/10.3389\/fphy.2020.00224","journal-title":"Front Phys"},{"key":"10361_CR55","doi-asserted-by":"publisher","first-page":"107105","DOI":"10.1016\/j.asoc.2021.107105","volume":"102","author":"Z Sabir","year":"2021","unstructured":"Sabir Z, Guirao JL, Saeed T (2021) Solving a novel designed second order nonlinear Lane-Emden delay differential model using the heuristic techniques. Appl Soft Comput 102:107105","journal-title":"Appl Soft Comput"},{"issue":"1","key":"10361_CR56","first-page":"7359242","volume":"2020","author":"JL Guirao","year":"2020","unstructured":"Guirao JL et al (2020) Design and numerical solutions of a novel third-order nonlinear Emden-Fowler delay differential model. Math Probl Eng 2020(1):7359242","journal-title":"Math Probl Eng"},{"key":"10361_CR57","doi-asserted-by":"publisher","first-page":"111404","DOI":"10.1016\/j.chaos.2021.111404","volume":"152","author":"Z Sabir","year":"2021","unstructured":"Sabir Z, Raja MAZ, Guirao JL, Saeed T (2021) Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model. Chaos, Solitons Fractals 152:111404","journal-title":"Chaos, Solitons Fractals"},{"issue":"4","key":"10361_CR58","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s40314-020-01350-0","volume":"39","author":"Z Sabir","year":"2020","unstructured":"Sabir Z, Raja MAZ, Shoaib M, Aguilar JG (2020) FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system. Comput Appl Math 39(4):1\u201318","journal-title":"Comput Appl Math"},{"key":"10361_CR59","doi-asserted-by":"crossref","unstructured":"Sabir Z, Raja MAZ, Umar M, Shoaib M, Baleanu D (2021) FMNSICS: fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane\u2013Emden systems. Neural Computing and Applications 1\u201314","DOI":"10.1007\/s00521-021-06452-2"},{"issue":"2","key":"10361_CR60","doi-asserted-by":"publisher","first-page":"2641","DOI":"10.1016\/j.aej.2021.01.004","volume":"60","author":"Z Sabir","year":"2021","unstructured":"Sabir Z, Raja MAZ, Guirao JL, Shoaib M (2021) A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems. Alex Eng J 60(2):2641\u20132659. https:\/\/doi.org\/10.1016\/j.aej.2021.01.004","journal-title":"Alex Eng J"},{"key":"10361_CR61","doi-asserted-by":"publisher","first-page":"107105","DOI":"10.1016\/j.asoc.2021.107105","volume":"102","author":"Z Sabir","year":"2021","unstructured":"Sabir Z et al (2021) Solving a novel designed second order nonlinear Lane-Emden delay differential model using the heuristic techniques. Appl Soft Comput 102:107105. https:\/\/doi.org\/10.1016\/j.asoc.2021.107105","journal-title":"Appl Soft Comput"},{"key":"10361_CR62","doi-asserted-by":"publisher","first-page":"101081","DOI":"10.1016\/j.imu.2022.101081","volume":"33","author":"P Singkibud","year":"2022","unstructured":"Singkibud P, Sabir Z, Fathurrochman I, Alhazmi SE, Ali MR (2022) Swarming morlet wavelet neural network procedures for the mathematical robot system. Inform Med Unlocked 33:101081","journal-title":"Inform Med Unlocked"},{"issue":"2","key":"10361_CR63","doi-asserted-by":"publisher","first-page":"429","DOI":"10.21042\/AMNS.2017.2.00034","volume":"2","author":"K Vajravelu","year":"2017","unstructured":"Vajravelu K et al (2017) Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid. Appl Math Nonlinear Sci 2(2):429\u2013442. https:\/\/doi.org\/10.21042\/AMNS.2017.2.00034","journal-title":"Appl Math Nonlinear Sci"},{"issue":"2","key":"10361_CR64","doi-asserted-by":"publisher","first-page":"351","DOI":"10.2478\/AMNS.2019.2.00030","volume":"4","author":"MSM Selvi","year":"2019","unstructured":"Selvi MSM et al (2019) Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems. Appl Math Nonlinear Sci 4(2):351\u2013364. https:\/\/doi.org\/10.2478\/AMNS.2019.2.00030","journal-title":"Appl Math Nonlinear Sci"},{"issue":"1","key":"10361_CR65","doi-asserted-by":"publisher","first-page":"447","DOI":"10.2478\/amns.2020.1.00042","volume":"5","author":"H Durur","year":"2020","unstructured":"Durur H, Tasbozan O, Kurt A (2020) New analytical solutions of conformable time fractional bad and good modified Boussinesq equations. Appl Math Nonlinear Sci 5(1):447\u2013454. https:\/\/doi.org\/10.2478\/amns.2020.1.00042","journal-title":"Appl Math Nonlinear Sci"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-024-10361-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-024-10361-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-024-10361-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T12:07:22Z","timestamp":1732536442000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-024-10361-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,21]]},"references-count":65,"journal-issue":{"issue":"35","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["10361"],"URL":"https:\/\/doi.org\/10.1007\/s00521-024-10361-5","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,9,21]]},"assertion":[{"value":"29 September 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 November 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 September 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"All authors describe that there are no potential conflicts of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"Data available on request from the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Data Availability"}}]}}