The existence and Ulam-Hyers stability results for generalized Hilfer fractional integro-differential equations with nonlocal integral boundary conditions
نویسندگان
چکیده
In this paper, we study the existence and uniqueness of mild solutions for nonlinear fractional integro-differential equations (FIDEs) subject to nonlocal integral boundary conditions (nonlocal IBC) in frame a ξ-Hilfer derivative (FDs). Further, discuss different kinds stability Ulam-Hyers (UH) given problem. Using fixed point theorems (FPT's) together with generalized Gronwall inequality desired outcomes are proven. Examples which illustrate effectiveness theoretical results.
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ژورنال
عنوان ژورنال: Advances in the theory of nonlinear analysis and its applications
سال: 2022
ISSN: ['2587-2648']
DOI: https://doi.org/10.31197/atnaa.917180