A note on  coupled  fractional hybrid differential equations involving Banach algebra

P. Karthikeyan 1 * and K. Buvaneswari 2

doi:10.26637/MJM0604/0021

A note on coupled fractional hybrid differential equations involving Banach algebra

Authors :

P. Karthikeyan ^{1 *} and K. Buvaneswari ²

Author Address :

¹ Department of Mathematics, Sri Vasavi College, Erode-638 316, Tamil Nadu, India.
² Department of Mathematics, Sona College of Technology, Salem-636 005, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this article, we are concerned with the existence of solution for a nonlinear hybrid differential equations of fractional order in Banach algebra. By using coupled fixed point theorem we establish our main result. Finally an example also provided to show our main result.

Keywords :

Riemann-Liouville fractional derivative, hybrid initial value problem, Banach algebra, coupled fixed point theorem.

DOI :

10.26637/MJM0604/0021

Article Info :

Received : March 11, 2018; Accepted : November 09, 2018.