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A Fuzzy Fractional Power Series Approximation and Taylor Expansion for Solving Fuzzy Fractional Differential Equation

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dc.contributor.authorSingh, Payal
dc.contributor.authorGazi, Kamal Hossain
dc.contributor.authorRahaman, Mostafijur
dc.contributor.authorSalahshour, Soheil
dc.contributor.authorMondal, Sankar Prasad
dc.contributor.institutionSingh, Payal, Department of Applied Sciences and Humanities, Parul University, Vadodara, India
dc.contributor.institutionGazi, Kamal Hossain, Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, India
dc.contributor.institutionRahaman, Mostafijur, Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
dc.contributor.institutionSalahshour, Soheil, Faculty of Engineering and Natural Sciences, Istanbul Okan University, Tuzla, Turkey, Faculty of Engineering and Natural Sciences, Bahçeşehir Üniversitesi, Istanbul, Turkey, Faculty of Science and Letters, Pîrî Reis Üniversitesi, Istanbul, Turkey
dc.contributor.institutionMondal, Sankar Prasad, Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, India
dc.date.accessioned2025-10-05T14:50:00Z
dc.date.issued2024
dc.description.abstractFuzzy fractional differential has the strength to capture the senses of memory and uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy fractional differential equations is not always found regularly. This paper discusses a numerical solution approach for the fuzzy fractional differential equation using power series approximation with a fuzzy fractional counterpart of Taylor's theorem. Caputo's definition of the fractional derivative and generalized Hukuhara difference are used to describe the fuzzy differential equation in this paper. Utilization of the generalized Hukuhara difference for the fuzzy valued function ensures the uniqueness and boundedness of the fuzzy solution in parametric form. © 2024 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1016/j.dajour.2024.100402
dc.identifier.issn27726622
dc.identifier.scopus2-s2.0-85183484460
dc.identifier.urihttps://doi.org/10.1016/j.dajour.2024.100402
dc.identifier.urihttps://hdl.handle.net/20.500.14719/7304
dc.identifier.volume10
dc.language.isoen
dc.publisherElsevier Inc.
dc.relation.oastatusAll Open Access
dc.relation.oastatusGold Open Access
dc.relation.sourceDecision Analytics Journal
dc.subject.authorkeywordsDynamical Systems
dc.subject.authorkeywordsFuzzy Caputo Fractional Derivative
dc.subject.authorkeywordsFuzzy Fractional Differential Equation
dc.subject.authorkeywordsFuzzy Fractional Taylor's Theorem
dc.subject.authorkeywordsPower Series Approximation
dc.titleA Fuzzy Fractional Power Series Approximation and Taylor Expansion for Solving Fuzzy Fractional Differential Equation
dc.typeArticle
dcterms.referencesShiri, Babak, A POWER SERIES METHOD FOR THE FUZZY FRACTIONAL LOGISTIC DIFFERENTIAL EQUATION, Fractals, 31, 10, (2023), Fractional Calculus Models and Numerical Methods, (2012), An Introduction to Fractional Calculus, (2000), Jumarie, Guy, Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions, Applied Mathematical Modelling, 32, 5, pp. 836-859, (2008), Applications of Fractional Calculus in Physics, (2000), Theory and Applications of Fractional Differential Equations, (2006), Theory of Fractional Dynamic Systems, (2009), Li, Changpin, Remarks on fractional derivatives, Applied Mathematics and Computation, 187, 2, pp. 777-784, (2007), Li, Changpin, Fractional derivatives in complex planes, Nonlinear Analysis, Theory, Methods and Applications, 71, 5-6, pp. 1857-1869, (2009), Li, Changpin, On the bound of the Lyapunov exponents for the fractional differential systems, Chaos, 20, 1, (2010)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id57212528544
person.identifier.scopus-author-id58075145600
person.identifier.scopus-author-id57213152433
person.identifier.scopus-author-id23028598900
person.identifier.scopus-author-id57004332200

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