Malaysian Journal of Mathematical Sciences, January 2018, Vol. 12, No. 1
Some Solution of the Fractional Iterative Integro-Differential Equations
K?l?çman, A. and Damag, F. H. M.
Corresponding Email: akilic@upm.edu.my
Received date: 14 May 2017
Accepted date: 20 January 2018
Abstract:
In this article, we focus to some classes of fractional iterative integrodifferential equations. Firstly, we interested of the fractional iterative integrodifferential equations including derivatives and establish the existence and uniqueness solutions by using the non-expansive operators theory and fixed point theorems. The second studies, we concern of the system iterative integro-differential equations and show existence and uniqueness solutions by using the theorem of Banach fixed point and Schaefer fixed point theorem. In this study, we consider Riemann-Liouville and Caputo differential operator, further provide example as an application.
Keywords: Fractional, iterative, existence, fixed point theorem Schaefer’s, non-expansive operator technique
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