Existence uniqueness and stability of solutions for ψ-Caputo fractional differential iterative equation with boundary value conditions

mohamed El fadouaki

Abstract


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The subject of this paper revolves around fractional differential equations incorporating a ψ-Caputo fractional deriva- tive, focusing on the Ulam–Hyers stability , the existence and uniqueness of solutions for nonlinear fractional quadratic iterative differential equation by utilizing Schauder’s fixed point theorem, reinforced by the Arzela-Ascoli theorem. Ad- ditionally, we present two illustrative examples to buttress our analytical findings.

 

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