The existence and Ulam-Hyers stability results for generalized Hilfer fractional integro-differential equations with nonlocal integral boundary conditions

The existence and Ulam-Hyers stability results for generalized Hilfer fractional integro-differential equations with nonlocal integral boundary conditions

In this paper, we study the existence and uniqueness of mild solutions for nonlinear fractional integrodifferential equations (FIDEs) subject to nonlocal integral boundary conditions (nonlocal IBC) in the frame of a ξ-Hilfer fractional derivative (FDs). Further, we discuss different kinds of stabil...

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Bibliographic Details
Main Authors: Adel Lachouri, Abdelouaheb Ardjouni
Format: Article
Language:English
Published: ATNAA 2022-01-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
ξ-hilfer fractional integro-differential equation
existence
uniqueness
ulam-hyers stability
fixed point theorems
Online Access:https://dergipark.org.tr/tr/download/article-file/1709437

Internet

https://dergipark.org.tr/tr/download/article-file/1709437

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