Theory of Nonlinear Caputo-Katugampola Fractional Differential Equations
General Mathematics
2019-11-21 v1
Abstract
This manuscript investigates the existence and uniqueness of solutions to the first order fractional anti-periodic boundary value problem involving Caputo-Katugampola (CK) derivative. A variety of tools for analysis this paper through the integral equivalent equation of the given problem, fixed point theorems of Leray--Schauder, Krasnoselskii's, and Banach are used. Examples of the obtained results are also presented.
Keywords
Cite
@article{arxiv.1911.08884,
title = {Theory of Nonlinear Caputo-Katugampola Fractional Differential Equations},
author = {Saleh S. Redhwan and Sadikali L. Shaikh and Mohammed S. Abdo},
journal= {arXiv preprint arXiv:1911.08884},
year = {2019}
}