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Some solution of the fractional iterative integro-differential equations


Citation

Kilicman, Adem and Damag, F. H. M. (2018) Some solution of the fractional iterative integro-differential equations. Malaysian Journal of Mathematical Sciences, 12 (1). pp. 121-141. ISSN 1823-8343; ESSN: 2289-750X

Abstract

In this article, we focus to some classes of fractional iterative integro-differential equations. Firstly, we interested of the fractional iterative integro-differential 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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Fractional; Iterative; existence; Fixed point theorem Schaefer's; Non-expansive operator technique
Depositing User: Nabilah Mustapa
Date Deposited: 18 May 2018 03:43
Last Modified: 18 May 2018 03:43
URI: http://psasir.upm.edu.my/id/eprint/60253
Statistic Details: View Download Statistic

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