{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T21:09:10Z","timestamp":1770757750503,"version":"3.50.0"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T00:00:00Z","timestamp":1767398400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T00:00:00Z","timestamp":1767398400000},"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":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1007\/s12190-025-02704-9","type":"journal-article","created":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T08:41:02Z","timestamp":1767429662000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A novel conjunction technique for systems of nonlinear fractional partial differential equations under Khalouta-Atangana-Baleanu-Caputo fractional derivative"],"prefix":"10.1007","volume":"72","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1370-3189","authenticated-orcid":false,"given":"Ali","family":"Khalouta","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,1,3]]},"reference":[{"key":"2704_CR1","doi-asserted-by":"publisher","unstructured":"Al-Sawalha, M.M., Agarwal, R.P., Shah, R., Ababneh, O.Y., Weera, W.: A reliable way to deal with fractional-order equations that describe the unsteady flow of a polytropic gas. Mathematics 10(13), 2293 (2022). https:\/\/doi.org\/10.3390\/math10132293","DOI":"10.3390\/math10132293"},{"issue":"2","key":"2704_CR2","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.joes.2019.01.003","volume":"4","author":"A. Goswami","year":"2019","unstructured":"Goswami, A., Singh, J., Kumar, D., Gupta, S., Sushila.: An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma. J. Ocean Eng. Sci. 4(2), 85\u201399 (2019)","journal-title":"J. Ocean Eng. Sci."},{"issue":"1","key":"2704_CR3","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/j.advengsoft.2008.12.012","volume":"41","author":"K.B. Oldham","year":"2010","unstructured":"Oldham, K.B.: Fractional differential equations in electrochemistry. Adv. Eng. Softw. 41(1), 9\u201312 (2010). https:\/\/doi.org\/10.1016\/j.advengsoft.2008.12.012","journal-title":"Adv. Eng. Softw."},{"key":"2704_CR4","doi-asserted-by":"publisher","unstructured":"Sun, W., Jin, Y., Lu, G.: Genuine multipartite entanglement from a thermodynamic perspective. Phys. Rev. A 109(4), (2024). https:\/\/doi.org\/10.1103\/PhysRevA.109.042422","DOI":"10.1103\/PhysRevA.109.042422"},{"issue":"2","key":"2704_CR5","doi-asserted-by":"publisher","first-page":"413","DOI":"10.3390\/applmech3020026","volume":"3","author":"J. Blackledge","year":"2022","unstructured":"Blackledge, J.: Quantum mechanics and control using fractional calculus: a study of the shutter problem for fractional quantum fields. Appl. Mech, 3(2), 413\u2013463 (2022). https:\/\/doi.org\/10.3390\/applmech3020026","journal-title":"Appl. Mech,"},{"issue":"15","key":"2704_CR6","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/j.amc.2014.11.028","volume":"257","author":"D. Sierociuk","year":"2015","unstructured":"Sierociuk, D., Skovranek, T., Macias, M., Podlubny, I., Petras, I., Dzielinski, A., Ziubinski, P.: Diffusion process modeling by using fractional-order models. Appl. Math. Comput. 257(15), 2\u201311 (2015)","journal-title":"Appl. Math. And Computation"},{"key":"2704_CR7","doi-asserted-by":"publisher","first-page":"112649","DOI":"10.1016\/j.asoc.2024.112649","volume":"169","author":"Y. Yang","year":"2025","unstructured":"Yang, Y., Li, H.: Neural ordinary differential equations for robust parameter estimation in dynamic systems with physical priors. Appl. Soft Comput. 169, 112649 (2025). https:\/\/doi.org\/10.1016\/j.asoc.2024.112649","journal-title":"Appl. Soft Comput."},{"issue":"2","key":"2704_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s40314-019-0829-1","volume":"38","author":"S.R. Munjam","year":"2019","unstructured":"Munjam, S.R.: Fractional transform methods for coupled system of time fractional derivatives of non-homogeneous Burgers\u2019 equations arise in diffusive effects. Comput. Appl. Math. 38(2), 1\u201320 (2019). https:\/\/doi.org\/10.1007\/s40314-019-0829-1","journal-title":"Comput. Appl. Math."},{"key":"2704_CR9","doi-asserted-by":"publisher","unstructured":"Jawarneh, Y., Alsheekhhussain, Z., Al-Sawalha, M.M.: Fractional view analysis system of Korteweg\u2013de vries equations using an analytical method. Fractal. Fract. 8(40), (2024). https:\/\/doi.org\/10.3390\/fractalfract8010040","DOI":"10.3390\/fractalfract8010040"},{"issue":"1","key":"2704_CR10","doi-asserted-by":"publisher","first-page":"17","DOI":"10.47974\/JIM-1638","volume":"27","author":"R.S. Teppawar","year":"2024","unstructured":"Teppawar, R.S., Ingle, R.N., Muneshwar, R.A.: Solving systems of fractional differential equations by modified fractional differential transform method with adomian polynomials. J. Interdiscip. Math. 27(1), 17\u201332 (2024)","journal-title":"J. Interdiscip. Math."},{"issue":"3","key":"2704_CR11","first-page":"33","volume":"14","author":"A. Khalouta","year":"2023","unstructured":"Khalouta, A.: New approaches for solving Caputo time-fractional nonlinear system of equations describing the unsteady flow of a polytropic gas. Int. J. Nonlinear Anal. Appl. 14(3), 33\u201346 (2023)","journal-title":"Int. J. Multiling. Nonlinear Anal. And Appl."},{"key":"2704_CR12","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1016\/j.jde.2025.01.049","volume":"424","author":"Q. Shi","year":"2025","unstructured":"Shi, Q., Wang, S., Yang, J.: Small parameters analysis applied to two potential issues for maxwell-schr\u00f6dinger system. J. Differ. Equ. 424, 637\u2013659 (2025). https:\/\/doi.org\/10.1016\/j.jde.2025.01.049","journal-title":"J. Retailing Differ. Equations"},{"key":"2704_CR13","doi-asserted-by":"publisher","first-page":"5","DOI":"10.20948\/mathmontis-2023-57-1","volume":"57","author":"A. Khalouta","year":"2023","unstructured":"Khalouta, A.: A new exponential type kernel integral transform: Khalouta transform and its applications. Math. Montisnigri. 57, 5\u201323 (2023). https:\/\/doi.org\/10.20948\/mathmontis-2023-57-1","journal-title":"Math. Montisnigri"},{"issue":"3","key":"2704_CR14","doi-asserted-by":"publisher","first-page":"165","DOI":"10.22130\/scma.2023.2005194.1360","volume":"21","author":"A. Khalouta","year":"2024","unstructured":"Khalouta, A.: Existence, uniqueness and convergence solution of nonlinear caputo-fabrizio fractional biological population model. Sahand Commun. Math. Anal. 21(3), 165\u2013196 (2024). https:\/\/doi.org\/10.22130\/scma.2023.2005194.1360","journal-title":"Sahand Commun. Math. Anal."},{"issue":"2","key":"2704_CR15","doi-asserted-by":"publisher","first-page":"763","DOI":"10.2298\/TSCI160111018A","volume":"20","author":"A. Atangana","year":"2016","unstructured":"Atangana, A., Baleanu, D.: New fractional derivatives with non-local and non-singular kernel theory and application to heat transfer model. Therm. Sci. 20(2), 763\u2013769 (2016)","journal-title":"Therm. Sci."},{"key":"2704_CR16","volume-title":"Theory and Application of Fractional Differential Equations","author":"A.A. Kilbas","year":"2006","unstructured":"Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Application of Fractional Differential Equations. Elsevier, Amsterdam (2006)"},{"key":"2704_CR17","doi-asserted-by":"publisher","first-page":"304","DOI":"10.2478\/s13540-012-0022-3","volume":"15","author":"K. Diethelm","year":"2012","unstructured":"Diethelm, K.: The mean value theorems and a Nagumo-type uniqueness theorem for Caputo\u2019s fractional calculus. Fract. Calc. Appl. Anal. 15, 304\u2013313 (2012)","journal-title":"Fract. Calc. Appl. Anal."},{"key":"2704_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21593-8","volume-title":"Fixed Point Theory","author":"A. Granas","year":"2003","unstructured":"Granas, A., Dugundji, J.: Fixed Point Theory. Springer-Verlag, New York (2003)"},{"issue":"9","key":"2704_CR19","first-page":"1974","volume":"32","author":"M.T. Elzaki","year":"2014","unstructured":"Elzaki, M.T., Alamri, B.A.S.: Projected differential transform method and Elzaki transform for solving system of nonlinear partial differential equations. World Appl. Sci. J. 32(9), 1974\u20131979 (2014)","journal-title":"World Appl. Sci. J."},{"issue":"1","key":"2704_CR20","doi-asserted-by":"publisher","first-page":"32","DOI":"10.3390\/fractalfract6010032","volume":"6","author":"H.M. Ali","year":"2022","unstructured":"Ali, H.M., Ahmad, H., Askar, S., Ameen, I.G.: Efficient approaches for solving systems of nonlinear time-fractional partial differential equations. Fractal. Fract. 6(1), 32 (2022). https:\/\/doi.org\/10.3390\/fractalfract6010032","journal-title":"Fractal And Fract."},{"issue":"36","key":"2704_CR21","first-page":"243","volume":"3","author":"M.O. Olayiwola","year":"2016","unstructured":"Olayiwola, M.O.: Variational iteration method: a computational tool for solving coupled system of nonlinear partial differential equations. J. Sci. Arts 3(36), 243\u2013248 (2016)","journal-title":"J. Educ. Chang. Sci. Arts"}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-025-02704-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-025-02704-9","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-025-02704-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T16:13:04Z","timestamp":1770739984000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-025-02704-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,3]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["2704"],"URL":"https:\/\/doi.org\/10.1007\/s12190-025-02704-9","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,3]]},"assertion":[{"value":"19 May 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 October 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 October 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2026","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"This article does not contain any studies with human participants performed by any of the authors.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}},{"value":"Authors declare that they have no conflict of interest.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"68"}}