Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative

This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an exam...

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Bibliographic Details
Main Authors: Ahmed Salem, Sanaa Abdullah
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/3/291
Description
Summary:This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an example of how our results can be applied.
ISSN:2227-7390