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

  • 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.
Keywords: Fractional differential equations with advanced argument, Riemann-Liouville fractional derivatives, existence and uniqueness, monotone iterative technique, lower and upper solution, integral boundary condition

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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Published
2020-06-25
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
Section
Papers