Sign in
Back
Existence and uniqueness of solutions to nonlocal-impulsive fractional Cauchy semilinear conformable differential equations
Journal article   Peer reviewed

Existence and uniqueness of solutions to nonlocal-impulsive fractional Cauchy semilinear conformable differential equations

Mohamed A. E. Herzallah and Ashraf H. A. Radwan
Journal of interdisciplinary mathematics, Vol.22(8), pp.1295-1310
17/11/2019
DOI: https://doi.org/10.1080/09720502.2019.1696921

Abstract

Mathematics Physical Sciences Science & Technology
This paper is devoted to study the existence and uniqueness of solutions to fractional semilinear differential equations with conformable fractional derivative. We prove our results for local and nonlocal-impulsive conditions. This will be accomplished by using Schaefer's fixed-point theorem and Banach's fixed-point principle. Some examples are given to illustrate the main theorems.

Metrics

1 Record Views

Details