{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T05:43:55Z","timestamp":1673243035786},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T00:00:00Z","timestamp":1630454400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T00:00:00Z","timestamp":1630454400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1007\/s40314-021-01629-w","type":"journal-article","created":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T10:03:20Z","timestamp":1630490600000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Integral boundary value problem for intuitionistic fuzzy delay partial differential equations"],"prefix":"10.1007","volume":"40","author":[{"given":"Bouchra Ben","family":"Amma","sequence":"first","affiliation":[]},{"given":"Said","family":"Melliani","sequence":"additional","affiliation":[]},{"given":"Lalla Saadia","family":"Chadli","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,1]]},"reference":[{"key":"1629_CR1","unstructured":"Atanassov KT (1983) Intuitionistic fuzzy sets. VII ITKR\u2019s session, Sofia (deposited in Central Science and Technical Library of the Bulgarian Academy of Sciences 1697\/84)"},{"key":"1629_CR2","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87\u201396","journal-title":"Fuzzy Sets Syst"},{"key":"1629_CR3","doi-asserted-by":"crossref","unstructured":"Atanassov KT, Castillo O, Kacprzyk J, Krawczak M, Melin P, Sotirov S, Sotirova E, Szmidt E, De Tre G, Zadrozny S (eds) (2016) Novel developments in uncertainty representation and processing\u2014advances in intuitionistic fuzzy sets and generalized nets\u2014Proceedings of 14th international conference on intuitionistic fuzzy sets and generalized nets, IWIFSGN@FQAS 2015, Cracow, Poland, October 26\u201328, 2015. Advances in intelligent systems and computing, vol 401, Springer 2016","DOI":"10.1007\/978-3-319-26211-6"},{"key":"1629_CR4","unstructured":"Ben Amma B, Melliani S, Chadli LS (2016) Numerical solution of intuitionistic fuzzy differential equations by Runge-Kutta method of order four. Notes Intuit Fuzzy Sets 22(4):42\u201352"},{"key":"1629_CR5","doi-asserted-by":"crossref","unstructured":"Ben Amma B, Melliani S, Chadli LS (2018a) The Cauchy problem of intuitionistic fuzzy differential equations. Notes Intuit Fuzzy Sets 24(1):37\u201347","DOI":"10.7546\/nifs.2018.24.1.37-47"},{"key":"1629_CR6","doi-asserted-by":"crossref","unstructured":"Ben Amma B, Melliani S, Chadli LS (2018b) Intuitionistic fuzzy functional differential equations, fuzzy logic in intelligent system design: theory and applications. Springer International Publishing, Cham, pp 335\u2013357","DOI":"10.1007\/978-3-319-67137-6_39"},{"key":"1629_CR7","doi-asserted-by":"crossref","unstructured":"Ben Amma B, Melliani S, Chadli LS (2019a) A fourth order Runge\u2013Kutta Gill method for the numerical solution of intuitionistic fuzzy differential equations, recent advances in intuitionistic fuzzy logic systems, studies in fuzziness and soft computing, vol 372. Springer, Cham","DOI":"10.1007\/978-3-030-02155-9_5"},{"key":"1629_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s13662-018-1939-6","volume":"2019","author":"B Ben Amma","year":"2019","unstructured":"Ben Amma B, Melliani S, Chadli LS (2019b) The existence and uniqueness of intuitionistic fuzzy solutions for intuitionistic fuzzy partial functional differential equations. Int J Differ Equ 2019:1\u201313","journal-title":"Int J Differ Equ"},{"key":"1629_CR9","doi-asserted-by":"crossref","unstructured":"Ben Amma B, Melliani S, Chadli LS (2019c) Integral boundary value problem for intuitionistic fuzzy partial hyperbolic differential equations, nonlinear analysis and boundary value problems. In: Springer Proceedings in mathematics & statistics, vol 292","DOI":"10.1007\/978-3-030-26987-6_7"},{"key":"1629_CR10","volume-title":"The numerical solution of intuitionistic fuzzy differential equations by the third order Runge-Kutta Nystr\u00f6m method, intuitionistic and type-2 fuzzy logic enhancements in neural and optimization algorithms: theory and applications","author":"B Ben Amma","year":"2020","unstructured":"Ben Amma B, Melliani S, Chadli LS (2020) The numerical solution of intuitionistic fuzzy differential equations by the third order Runge-Kutta Nystr\u00f6m method, intuitionistic and type-2 fuzzy logic enhancements in neural and optimization algorithms: theory and applications, vol 862. Springer, Berlin"},{"key":"1629_CR11","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/978-3-540-71512-2_2","volume-title":"Handbook of brain connectivity","author":"SA Campbell","year":"2007","unstructured":"Campbell SA (2007) Time delays in neural systems. In: Jirsa VK, McIntosh A (eds) Handbook of brain connectivity. Springer, Berlin, pp 65\u201390"},{"key":"1629_CR12","volume-title":"Framework for optimization of intuitionistic and type-2 fuzzy systems in control applications, recent advances in intuitionistic fuzzy logic systems, studies in fuzziness and soft computing","author":"O Castillo","year":"2019","unstructured":"Castillo O (2019) Framework for optimization of intuitionistic and type-2 fuzzy systems in control applications, recent advances in intuitionistic fuzzy logic systems, studies in fuzziness and soft computing, vol 372. Springer, Berlin"},{"key":"1629_CR13","doi-asserted-by":"crossref","unstructured":"Castillo O (2021) Optimization of type-2 and intuitionistic fuzzy systems in intelligent control. In: Atanassov K et al (eds) Uncertainty and imprecision in decision making and decision support: new challenges, solutions and perspectives. IWIFSGN 2018. Advances in intelligent systems and computing, vol 1081. Springer, Cham","DOI":"10.1007\/978-3-030-47024-1_29"},{"key":"1629_CR14","doi-asserted-by":"crossref","unstructured":"Castillo O, Melin P (2014) Short remark on fuzzy sets, interval type-2 fuzzy sets, general type-2 fuzzy sets and intuitionistic fuzzy sets. In: IEEE international conference on intelligent systems, vol 1, pp 183\u2013190","DOI":"10.1007\/978-3-319-11313-5_18"},{"key":"1629_CR15","volume-title":"Intuitionistic and type-2 fuzzy logic enhancements in neural and optimization algorithms: theory and applications, studies in computational intelligence","author":"O Castillo","year":"2020","unstructured":"Castillo O, Melin P, Kacprzyk J (2020) Intuitionistic and type-2 fuzzy logic enhancements in neural and optimization algorithms: theory and applications, studies in computational intelligence, vol 862. Springer, Berlin"},{"key":"1629_CR16","doi-asserted-by":"publisher","first-page":"633","DOI":"10.1006\/jmaa.2001.7563","volume":"261","author":"FA Davidson","year":"2001","unstructured":"Davidson FA, Gourley SA (2001) The effects of temporal delays in a model for a food-limited diffusion population. J Math Anal Appl 261:633\u2013648","journal-title":"J Math Anal Appl"},{"issue":"2","key":"1629_CR17","first-page":"55","volume":"23","author":"A El Allaoui","year":"2017","unstructured":"El Allaoui A, Melliani S, Chadli LS (2017) The Cauchy problem for complex intuitionistic fuzzy differential equations. Notes Intuit Fuzzy Sets 23(2):55\u201368","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"3","key":"1629_CR18","doi-asserted-by":"publisher","first-page":"379","DOI":"10.30948\/afmi.2017.13.3.379","volume":"13","author":"M Elomari","year":"2016","unstructured":"Elomari M, Melliani S, Chadli LS (2016) Solution of intuitionistic fuzzy fractional differential equations. Ann Fuzzy Math Inform 13(3):379\u2013391","journal-title":"Ann Fuzzy Math Inform"},{"issue":"3","key":"1629_CR19","first-page":"80","volume":"22","author":"M Elomari","year":"2016","unstructured":"Elomari M, Melliani S, Chadli LS (2016b) Evolution problem with intuitionistic fuzzy fractional derivative. Notes Intuit Fuzzy Sets 22(3):80\u201390","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"2","key":"1629_CR20","first-page":"2455","volume":"5","author":"MM Jansirani","year":"2020","unstructured":"Jansirani MM, Jamshida K (2020) Numerical solution of intuitionistic fuzzy differential equations using Runge\u2013Kutta method. Int J Sci Res Mod Educ 5(2):2455\u20135630","journal-title":"Int J Sci Res Mod Educ"},{"key":"1629_CR21","doi-asserted-by":"publisher","first-page":"1656","DOI":"10.1137\/16M1063605","volume":"15","author":"A Keane","year":"2016","unstructured":"Keane A, Krauskopf B, Postlethwaite C (2016) Investigating irregular behavior in a model for the El Ni\u00f1o Southern Oscillation with positive and negative delayed feedback. SIAM J Appl Dyn Syst 15:1656\u20131689","journal-title":"SIAM J Appl Dyn Syst"},{"issue":"1","key":"1629_CR22","first-page":"77","volume":"11","author":"YI Kazmerchuk","year":"2004","unstructured":"Kazmerchuk YI, Wu JH (2004) Stochastic state-dependent delay differential equations with applications in finance. Funct Differ Equ 11(1):77\u201386","journal-title":"Funct Differ Equ"},{"key":"1629_CR23","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/BF00418497","volume":"120","author":"J Mallet-Paret","year":"1992","unstructured":"Mallet-Paret J, Nussbaum RD (1992) Boundary layer phenomena for differential-delay equations with state-dependent time lags I. Arch Ration Mech Anal 120:99\u2013146","journal-title":"Arch Ration Mech Anal"},{"key":"1629_CR24","first-page":"37","volume":"6","author":"S Melliani","year":"2000","unstructured":"Melliani S, Chadli LS (2000) Intuitionistic fuzzy differential equation. Notes Intuit Fuzzy Sets 6:37\u201341","journal-title":"Notes Intuit Fuzzy Sets"},{"key":"1629_CR25","first-page":"39","volume":"7","author":"S Melliani","year":"2001","unstructured":"Melliani S, Chadli LS (2001) Introduction to intuitionistic fuzzy partial differential equations. Notes Intuit Fuzzy Sets 7:39\u201342","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"2","key":"1629_CR26","first-page":"43","volume":"21","author":"S Melliani","year":"2015","unstructured":"Melliani S, Elomari M, Chadli LS (2015a) Intuitionistic fuzzy a $$\\alpha $$-semigroup. Notes Intuit Fuzzy Sets 21(2):43\u201350","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"1","key":"1629_CR27","first-page":"43","volume":"21","author":"S Melliani","year":"2015","unstructured":"Melliani S, Elomari M, Chadli LS, Ettoussi R (2015b) Intuitionistic fuzzy metric space. Notes Intuit Fuzzy sets 21(1):43\u201353","journal-title":"Notes Intuit Fuzzy sets"},{"issue":"4","key":"1629_CR28","first-page":"58","volume":"21","author":"S Melliani","year":"2015","unstructured":"Melliani S, Elomari M, Atraoui M, Chadli LS (2015c) Intuitionistic fuzzy differential equation with nonlocal condition. Notes Intuit Fuzzy Sets 21(4):58\u201368","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"4","key":"1629_CR29","doi-asserted-by":"publisher","first-page":"72","DOI":"10.7546\/nifs.2018.24.4.72-84","volume":"24","author":"S Melliani","year":"2018","unstructured":"Melliani S, Bakhadach I, Elomari M, Chadli LS (2018a) Intuitionistic fuzzy Dirichlet problem. Notes Intuit Fuzzy Sets 24(4):72\u201384","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"3","key":"1629_CR30","doi-asserted-by":"publisher","first-page":"92","DOI":"10.7546\/nifs.2018.24.3.92-105","volume":"24","author":"S Melliani","year":"2018","unstructured":"Melliani S, Atti H, Amma BB, Chadli LS (2018b) Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method. Notes Intuit Fuzzy Sets 24(3):92\u2013105","journal-title":"Notes Intuit Fuzzy Sets"},{"issue":"2","key":"1629_CR31","first-page":"127","volume":"4","author":"M Nikolova","year":"2002","unstructured":"Nikolova M, Nikolov N, Cornelis C, Deschrijver G (2002) Survey of the research on intuitionistic fuzzy sets. Adv Stud Contemp Math 4(2):127\u2013157","journal-title":"Adv Stud Contemp Math"},{"issue":"1","key":"1629_CR32","first-page":"45","volume":"5","author":"V Parimala","year":"2017","unstructured":"Parimala V, Rajarajeswari P, Nirmala V (2017) Numerical solution of intuitionistic fuzzy differential equation by Milne\u2019s predictor\u2014corrector method under generalised differentiability. Int J Math Appl 5(1):45\u201354","journal-title":"Int J Math Appl"},{"key":"1629_CR33","doi-asserted-by":"crossref","unstructured":"Sotirov S, Sotirova E, Melin P, Castillo O, Atanassov (2015) Modular neural network preprocessing procedure with intuitionistic fuzzy intercriteria analysis method, flexible query answering systems, pp 175\u2013186","DOI":"10.1007\/978-3-319-26154-6_14"},{"key":"1629_CR34","doi-asserted-by":"crossref","unstructured":"Sotirov S, Sotirova E, Atanassova V, Atanassov K, Castillo O, Melin P, Petkov T, Surchev S (2018) A hybrid approach for modular neural network design using intercriteria analysis and intuitionistic fuzzy logic. Complexity (Article ID 3927951)","DOI":"10.1155\/2018\/3927951"},{"issue":"3","key":"1629_CR35","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338\u2013353","journal-title":"Inf Control"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01629-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-021-01629-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01629-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,8]],"date-time":"2023-01-08T11:53:50Z","timestamp":1673178830000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-021-01629-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9]]},"references-count":35,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["1629"],"URL":"https:\/\/doi.org\/10.1007\/s40314-021-01629-w","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9]]},"assertion":[{"value":"4 March 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 June 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 August 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"232"}}