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arXiv · 1705.02098

Existence of smooth solutions of multi-term Caputo-type fractional differential equations

Chung-Sik Sin·Shusen Cheng·Gang-Il Ri·Mun-Chol Kim
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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.

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Chung-Sik Sin, Shusen Cheng, Gang-Il Ri, Mun-Chol Kim. 2017-05-05. Existence of smooth solutions of multi-term Caputo-type fractional differential equations. https://arxiv.org/abs/1705.02098

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