Uniqueness and Ulam-Hyers-Mittag-Leffler stability results for the delayed fractional multi-terms differential equation involving the $Φ$--Caputo fractional Derivative
Choukri Derbazi,
Zidane Baitiche
Abstract:The principal aim of the present paper is to establish the uniqueness and Ulam-Hyers Mittag-Leffler (UHML) stability of solutions for a new class of multi-terms fractional time-delay differential equations in the context of the Φ-Caputo fractional derivative. To achieve this purpose, the generalized Laplace transform method alongside facet with properties of the Mittag-Leffler functions (M-LFs), are utilized to give a new representation formula of the solutions for the aforementioned problem. Besides that, the… Show more
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