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

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). Retrieved from https://sabapub.com/index.php/jfcns/article/view/353

Issue

Section

Articles