Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions

https://doi.org/10.48185/jmam.v1i1.14

Authors

  • Saleh Redhwan Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India.
  • Sadikali Shaikh Department of Mathematics, Maulana Azad College of arts, Science and Commerce, Aurangabad, India.

Keywords:

Implicit fractional differential equation , fractional derivative and fractional integral , Fixed point theorem.

Abstract

The given paper describes the implicit fractional differential equation with nonlinear integral boundary conditions in the frame of Caputo-Katugampola fractional derivative. We obtain an analogous integral equation of the given problem and prove the existence and uniqueness results of such a problem using the Banach and Krasnoselskii fixed point theorems. To show the effectiveness of the acquired results, convenient examples are presented.

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Published

2020-12-03

How to Cite

Redhwan, S., & Shaikh, S. . (2020). Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions. Journal of Mathematical Analysis and Modeling, 1(1), 64–76. https://doi.org/10.48185/jmam.v1i1.14

Issue

Vol. 1 No. 1 (2020): 2020 (1)

Section

Articles
Copyright & Licensing

Copyright (c) 2020 Saleh Redhwan, Sadikali Shaikh

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.