Articles
Kyungpook Mathematical Journal 2019; 59(1): 191-202
Published online March 31, 2019
Copyright © Kyungpook Mathematical Journal.
Existence and Uniqueness of Solutions of Fractional Differential Equations with Deviating Arguments under Integral Boundary Conditions
Dnyanoba Dhaigude, and Bakr Rizqan*
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431 004, India
e-mail : dnyanraja@gmail.com and bakeralhaaiti@yahoo.com
Received: April 12, 2017; Revised: August 7, 2018; Accepted: December 19, 2018
The aim of this paper is to develop a monotone iterative technique by introducing upper and lower solutions to Riemann-Liouville fractional differential equations with deviating arguments and integral boundary conditions. As an application of this technique, existence and uniqueness results are obtained.
Keywords: fractional differential equations with deviating arguments, Riemann-Liouville fractional derivatives, existence and uniqueness, monotone iterative technique, integral boundary conditions.