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Existence and approximation of solutions to fractional order hybrid differential equations.

Authors :
Somjaiwang, Dussadee
Sa Ngiamsunthorn, Parinya
Source :
Advances in Difference Equations. 10/28/2016, Vol. 2016 Issue 1, p1-11. 11p.
Publication Year :
2016

Abstract

We consider fractional hybrid differential equations involving the Caputo fractional derivative of order $0<\alpha<1$ . Using fixed point theorems developed by Dhage et al. in Applied Mathematics Letters 34, 76-80 (2014), we prove the existence and approximation of mild solutions. In addition, we provide a numerical example to illustrate the results obtained. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2016
Issue :
1
Database :
Academic Search Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
119137691
Full Text :
https://doi.org/10.1186/s13662-016-0999-8