A solving method for two-dimensional homogeneous system of fuzzy fractional differential equations

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorAkram, Muhammad
dc.contributor.authorMuhammad, Ghulam
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAli, Ghada
dc.date.accessioned2022-11-08T13:20:43Z
dc.date.available2022-11-08T13:20:43Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümüen_US
dc.description.abstractThe purpose of this study is to extend and determine the analytical solution of a twodimensional homogeneous system of fuzzy linear fractional differential equations with the Caputo derivative of two independent fractional orders. We extract two possible solutions to the coupled system under the definition of strongly generalized H-differentiability, uncertain initial conditions and fuzzy constraint coefficients. These potential solutions are determined using the fuzzy Laplace transform. Furthermore, we extend the concept of fuzzy fractional calculus in terms of the MittagLeffler function involving triple series. In addition, several important concepts, facts, and relationships are derived and proved as property of boundedness. Finally, to grasp the considered approach, we solve a mathematical model of the diffusion process using proposed techniques to visualize and support theoretical results.en_US
dc.identifier.citationAkram, M., Muhammad, G., Allahviranloo, T., & Ali, G. (2023). A solving method for two-dimensional homogeneous system of fuzzy fractional differential equations. AIMS Mathematics, 8(1), 228-263. doi:10.3934/math.2023011en_US
dc.identifier.doi10.3934/math.2023011en_US
dc.identifier.endpage263en_US
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85139801000en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage228en_US
dc.identifier.urihttps://doi.org/10.3934/math.2023011
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3267
dc.identifier.volume8en_US
dc.identifier.wosWOS:000888903800008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSystem of Fractional Differential Equationsen_US
dc.subjectMittag-Leffler Functionen_US
dc.subjectFuzzy Fractional Calculusen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectDiffusion Processen_US
dc.titleA solving method for two-dimensional homogeneous system of fuzzy fractional differential equationsen_US
dc.typeArticleen_US

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