Existence of smooth solutions of multi-term Caputo-type fractional differential equations
Classical Analysis and ODEs
2017-05-08 v1
Abstract
This paper deals with the initial value problem for the multi-term fractional differential equation. The fractional derivative is defined in the Caputo sense. Firstly the initial value problem is transformed into a equivalent Volterra-type integral equation under appropriate assumptions. Then new existence results for smooth solutions are established by using the Schauder fixed point theorem.
Keywords
Cite
@article{arxiv.1705.02098,
title = {Existence of smooth solutions of multi-term Caputo-type fractional differential equations},
author = {Chung-Sik Sin and Shusen Cheng and Gang-Il Ri and Mun-Chol Kim},
journal= {arXiv preprint arXiv:1705.02098},
year = {2017}
}