We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On Impulsive Implicit ψ -Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation.
- Authors
Salim, Abdelkrim; Alzabut, Jehad; Sudsutad, Weerawat; Thaiprayoon, Chatthai
- Abstract
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.
- Subjects
IMPULSIVE differential equations; BOUNDARY value problems; NONLINEAR functional analysis; FRACTIONAL differential equations; FUNCTIONAL analysis
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 24, p4821
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10244821