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http://dx.doi.org/10.5666/KMJ.2019.59.1.191

Existence and Uniqueness of Solutions of Fractional Differential Equations with Deviating Arguments under Integral Boundary Conditions  

Dhaigude, Dnyanoba (Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University)
Rizqan, Bakr (Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University)
Publication Information
Kyungpook Mathematical Journal / v.59, no.1, 2019 , pp. 191-202 More about this Journal
Abstract
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;
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