Some solution of the fractional iterative integro-differential equations

• Main Authors: Kilicman, Adem, Damag, F. H. M.
• Format: Article
• Language: English
• Published: Institute for Mathematical Research, Universiti Putra Malaysia 2018
• Online Access: http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf; http://psasir.upm.edu.my/id/eprint/60253/; http://einspem.upm.edu.my/journal/fullpaper/vol12no1/8.%20Adem.pdf

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.