"Existence of Smooth Solutions of Multi-Term Caputo-Type Fractional Dif" by Chung-Sik Sin, Gang-Il Ri et al.

Progress in Fractional Differentiation & Applications

Article Title

Existence of Smooth Solutions of Multi-Term Caputo-Type Fractional Differential Equations

Authors

Chung-Sik Sin, Faculty of Mathematics, Kim Il Sung University, Ryomyong Street, Taesong District, Pyongyang, D.P.R. Korea\\ School of Economics and Management, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing, China Follow
Gang-Il Ri
Mun-Chol Kim

Author Country (or Countries)

China

Abstract

This work 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 an equivalent Volterra-type integral equation under appropriate assumptions. Then, new existence results for smooth solutions are established by using the Schauder fixed point theorem.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040305

Recommended Citation

Sin, Chung-Sik; Ri, Gang-Il; and Kim, Mun-Chol (2018) "Existence of Smooth Solutions of Multi-Term Caputo-Type Fractional Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 4: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/040305
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol4/iss3/5

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