publication . Preprint . 2017

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

Sin, Chung-Sik; Cheng, Shusen; Ri, Gang-Il; Kim, Mun-Chol;
Open Access English
  • Published: 05 May 2017
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.
free text keywords: Mathematics - Classical Analysis and ODEs, 34A12, 34A34, 45D05
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