Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
Articles
Mohamed Jleli
King Saud University, Saudi Arabia
Bessem Samet
King Saud University, Saudi Arabia
Published 2015-07-20
https://doi.org/10.15388/NA.2015.3.4
PDF

Keywords

fractional differential equation
positive solution
cone
mixed monotone

How to Cite

Jleli, M. and Samet, B. (2015) “Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method”, Nonlinear Analysis: Modelling and Control, 20(3), pp. 367–376. doi:10.15388/NA.2015.3.4.

Abstract

In this paper, using a mixed monotone operator method, we study the existence and uniqueness of positive solutions to a nonlinear arbitrary order fractional differential equation. An example is provided to illustrate the main result.

PDF

Downloads

Download data is not yet available.