Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations
Classical Analysis and ODEs
2017-04-10 v1
Abstract
The Cauchy-type problem for a nonlinear differential equation involving Hilfer fractional derivative is considered. We prove existence, uniqueness and continuous dependence of a solution for Cauchy-type problem using successive approximations and generalized Gronwall inequality.
Keywords
Cite
@article{arxiv.1704.02174,
title = {Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations},
author = {D. B. Dhaigude and Sandeep P. Bhairat},
journal= {arXiv preprint arXiv:1704.02174},
year = {2017}
}