EXISTENCE AND UNIQUENESS RESULTS FOR FUZZY BOUNDARY VALUE PROBLEMS OF NONLINEAR DIFFERENTIAL EQUATIONS INVOLVING ATANGANA-BALEANU FRACTIONAL DERIVATIVES

This manuscript is devoted to the investigation of the existence and uniqueness results for fuzzy fractional boundary value problems of some nonlinear differential equations involving fuzzy Atangana-Baleanu fractional derivatives of order [alpha] [member of] (1, 2). By applying Banach fixed point th...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 2; p. 579
Main Authors Zamtain, F, Elomari, M, Melliani, S, El Mfadel, A
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.04.2024
Subjects
Analysis
Differential equations
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Summary:This manuscript is devoted to the investigation of the existence and uniqueness results for fuzzy fractional boundary value problems of some nonlinear differential equations involving fuzzy Atangana-Baleanu fractional derivatives of order [alpha] [member of] (1, 2). By applying Banach fixed point theorem, some new results and properties of Atangana-Baleanu fractional derivatives and generalized Hukuhara difference, we establish our main existence theorems. As application, a nontrivial example is given to illustrate our theoretical results. Keywords: fuzzy number, fuzzy fractional integral, fuzzy Atangana-Baleanu derivative, fuzzy Fractional differential equations, Banach fixed point theorem. AMS Subject Classification: 34A08, 26A33.
ISSN:2146-1147