On Impulsive Implicit ψ-Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation
Copyright policy )On Impulsive Implicit ψ-Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation
In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of boundary value problems for implicit ψ-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced arguments. The results are based on the Banach contraction principle and Krasnoselskii’s fixed point theorem. In addition, the Ulam–Hyers–Rassias stability result is proved using the nonlinear functional analysis technique. Finally, illustrative examples are given to validate our main results.
- Université Djillali Liabes Algeria
- Ostim Technical University Turkey
- Prince Sultan University Saudi Arabia
- Hassiba Benbouali University of Chlef Algeria
- Ramkhamhaeng University Thailand
Ulam–Hyers–Rassias stability, QA1-939, fixed point theorem, ψ-Caputo fractional derivative, non-instantaneous impulses, Mathematics, existence and uniqueness
Ulam–Hyers–Rassias stability, QA1-939, fixed point theorem, ψ-Caputo fractional derivative, non-instantaneous impulses, Mathematics, existence and uniqueness
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!