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

2017/05/05 by Chung‐Sik Sin, Shusen Cheng, Sin, Chung-Sik +5
Mathematics · #34A12 #34A34 #45D05 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1705.02098

openalex publication_date 2017/05/05 · openalex created_date 2017/05/19 · openalex updated_date 2026/07/28

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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