Existence and uniqueness results for fuzzy boundary value problems of nonlinear differential equations involving Atangana-Baleanu fractional derivatives
Künye
Zamtain, F., Elomari, M., Melliani, S. & El Mfadel, A. (2024). Existence and uniqueness results for fuzzy boundary value problems of nonlinear differential equations involving Atangana-Baleanu fractional derivatives. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 579-596.Özet
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 ? ? (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.
Cilt
14Sayı
2Bağlantı
https://hdl.handle.net/11729/5952https://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1198
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