Existence and approximate solutions  for  hybrid fractional integro-differential equations

Bapurao C. Dhagea,* Shyam B. Dhagea and Sotiris K. Ntouyasb,c

Existence and approximate solutions for hybrid fractional integro-differential equations

Authors :

Bapurao C. Dhage^a,* Shyam B. Dhage^a and Sotiris K. Ntouyas^b,c

Author Address :

^aKasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India.
^bDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
^cNonlinear Analysis and Applied Mathematics-Research Group (NAAM), King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

*Corresponding author.

Abstract :

In this paper we prove existence and approximations of the solutions for initial value problems of nonlinear hybrid fractional differential equations, using the operator theoretic technique in a partially ordered metric space proved by Dhage.

Keywords :

Fractional differential equation; Fixed point theorem; Dhage iteration method; Existence and uniqueness theorems.

DOI :

Article Info :

Received : November 24, 2015; Accepted : January 15, 2016.