Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
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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
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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.
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Vol. 20 No. 3 (2015)

Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method

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.

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