Nonlinear Boundary Value Problem of Fractional Differential Equations with Arguments under Integral Boundary Condition

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Published: Jun 25, 2020
DOI: https://doi.org/10.5556/j.tkjm.51.2020.2696
Keywords:
Fractional differential equations with advanced argument Riemann-Liouville fractional derivatives existence and uniqueness monotone iterative technique lower and upper solution integral boundary condition

Main Article Content

Dnyanoba B DHAIGUDE
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, India.
Bakr Hussein Rizqan
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, India.

Abstract

In this paper, we develop the existence and uniqueness theory of fractional differential equation involving Riemann-Liouville di¤erential operator of order 0 < < 1, with advanced argument under integral boundary condition. We show the uniqueness of solution by using Banach xed point theorem with a weighted norm. We apply the comparison result and obtain the existence and uniqueness of solution by monotone iterative technique also by use weakly coupled extremal solution of (1.1).

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How to Cite
DHAIGUDE, D. B., & Rizqan, B. H. (2020). Nonlinear Boundary Value Problem of Fractional Differential Equations with Arguments under Integral Boundary Condition. Tamkang Journal of Mathematics, 51(2), 101–112. https://doi.org/10.5556/j.tkjm.51.2020.2696
Issue
Vol. 51 No. 2 (2020)
Section
Papers

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