Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory
Dynamical Systems
2020-07-20 v1 Classical Analysis and ODEs
Abstract
In this paper, by employing fixed-point methods, we obtain the existence and uniqueness results for the nonlinear implicit fractional differential equations in Banach spaces. Further, we obtain the uniqueness, dependence of the solution on the initial condition as well as on the functions involved on the right-hand side by means of Picard and weakly Picard operator theory and Pompeiu--Hausdorff functional.
Keywords
Cite
@article{arxiv.2007.09139,
title = {Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory},
author = {Sagar T. Sutar and Kishor D. Kucche},
journal= {arXiv preprint arXiv:2007.09139},
year = {2020}
}