Positive solutions of a class of nonlinear boundary value fractional differential equations

https://doi.org/10.48185/jfcns.v2i2.353

Authors

  • Kenneth Ifeanyi Isife Federal University of Agriculture Makurdi, Nigeria

Keywords:

Fractional calculus, Caputo fractional derivative, Existence of positive solutions, Fixed point theory

Abstract

In this paper, the existence of positive solutions of a class of nonlinear fractional boundary value problems
is considered. Two fixed point theorems are used, namely: Banach Contraction mapping principle and
Leggett-Williams fixed point theorems. The former is used to prove the existence of a unique solution, whereas
the latter is used to prove the existence of at least three positive solutions to the problem. Some examples are
provided to illustrate the two results.

Published

2021-12-30

How to Cite

Isife, K. I. (2021). Positive solutions of a class of nonlinear boundary value fractional differential equations. Journal of Fractional Calculus and Nonlinear Systems, 2(2), 78–92. https://doi.org/10.48185/jfcns.v2i2.353

Issue

Vol. 2 No. 2 (2021): 2021 (2)

Section

Articles
Copyright & Licensing

Copyright (c) 2021 Kenneth Ifeanyi Isife

Creative Commons License

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