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- Title
EXISTENCE AND UNIQUENESS RESULTS FOR FUZZY BOUNDARY VALUE PROBLEMS OF NONLINEAR DIFFERENTIAL EQUATIONS INVOLVING ATANGANA-BALEANU FRACTIONAL DERIVATIVES.
- Authors
ZAMTAIN, F.; ELOMARI, M.; MELLIANI, S.; EL MFADEL, A.
- Abstract
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 α ∈ (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.
- Subjects
NONLINEAR boundary value problems; NONLINEAR differential equations; EXISTENCE theorems; LAPLACIAN operator; FRACTIONAL differential equations
- Publication
TWMS Journal of Applied & Engineering Mathematics, 2024, Vol 14, Issue 2, p579
- ISSN
2146-1147
- Publication type
Article