On Nonlinear Caputo Tempered Impulsive Implicit Fractional Problems
Abstract
The main goal of this paper is to study the existence and uniqueness of impulsive implicit fractional differential equation involving the Caputo tempered (C-T) fractional derivative depending on Riemann-Liouville (R-L) tempered fractional integral. The results are based upon the Banach contraction principle, and Krasnoselskii’s fixed point theorem. Furthermore, several illustrations are presented to demonstrate the plausibility of our results.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Journal of Advanced Analysis and Applications
- Publisher
- JS Publishing
- Pages
- 54–54
- Publication date
- 19 April 2026