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Research Article Open access CC BY 3.0

Existence and Uniqueness of Positive Solution for a Nonlinear Multi-Order Fractional Differential Equations

Changyou Wang, Lu Gao, Qi Dou

Journal of Advances in Mathematics and Computer Science · pp. 2137–2154 · Published 5 Jun 2014

10.9734/BJMCS/2014/10719

Abstract

This paper is concerned with a class of nonlinear multi-order fractional differential equation. By constructing the upper and lower control functions of the nonlinear term without any monotone requirement and applying the method of upper and lower solutions and Schauder fixed point theorem, the existence and uniqueness of positive solution for the equation are investigated. Moreover, some properties concerning the maximal, minimal, and continuation of solutions are obtained.

Multi-order fractional differential equation Erdelyi-Kober operator positive solution upper and lower solutions existence and uniqueness fixed point theorem

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Cited by 4

Positive solution of a fractional differential equation with integral boundary conditions

Mohammed S Abdo, Hanan A. Wahash, S. K. Panchal · Journal of Applied Mathematics and Computational Mechanics · 2018

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