Positive solutions for generalized two-term fractional differential equations with integral boundary conditions

https://doi.org/10.48185/jmam.v1i1.35

Authors

  • Hanan A. Wahash Dr. Babasaheb Ambedkar Marathwada University
  • Satish K. Panchal Dr. Babasaheb Ambedkar Marathwada University

Keywords:

fractional differential equations,, fractional differential equations \sep $\psi $-Caputo fractional derivatives,, Green function,, positive solution,, fixed point theorem.

Abstract

In this paper, we consider a class of boundary value problems for nonlinear two-term fractional differential equations with integral boundary conditions involving two $\psi $-Caputo fractional derivative. With the help of the properties Green function, the fixed point theorems of Schauder and Banach, and the method of upper and lower solutions, we derive the existence and uniqueness of positive solution of a proposed problem. Finally, an example is provided to illustrate the acquired results.

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Published

2020-12-03

How to Cite

Wahash, H. A., & Panchal, S. K. (2020). Positive solutions for generalized two-term fractional differential equations with integral boundary conditions. Journal of Mathematical Analysis and Modeling, 1(1), 47–63. https://doi.org/10.48185/jmam.v1i1.35

Issue

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

Section

Articles
Copyright & Licensing

Copyright (c) 2020 Hanan A. Wahash, Satish K. Panchal

Creative Commons License

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