On existence of solution to nonlinear $\psi$-Hilfer Cauchy-type problem
General Mathematics
2019-10-14 v2
Abstract
The aim of this paper is to obtain the existence of unique solution to nonlinear Cauchy-type problem. We consider the implicit nonlinear Cauchy-type problem with -Hilfer fractional derivative. The Banach fixed point theorem is used to obtain the existence of a unique solution whereas the generalized Gronwall inequality is used to discuss continuous data dependence of the solution. The results obtained herein are supported with illustrative example.
Cite
@article{arxiv.1909.13681,
title = {On existence of solution to nonlinear $\psi$-Hilfer Cauchy-type problem},
author = {Mohammed S Abdo and S K Panchal and Sandeep P Bhairat},
journal= {arXiv preprint arXiv:1909.13681},
year = {2019}
}
Comments
Corresponding author email: sp.bhairat@marj.ictmumbai.edu.in