Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions
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Articles
Haixing Feng
Shanxi University of Finance and Economics, China
Chengbo Zhai
Shanxi University, China
Published 2017-03-15
https://doi.org/10.15388/NA.2017.2.2
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Keywords

existence and uniqueness
positive solution
fractional differential equation
integral boundary value condition
fixed point theorems for a sum operator

How to Cite

Feng, H. and Zhai, C. (2017) “Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions”, Nonlinear Analysis: Modelling and Control, 22(2), pp. 160–172. doi:10.15388/NA.2017.2.2.
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Vol. 22 No. 2 (2017)

Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions

Abstract

The purpose of this paper is to investigate the existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions. Our analysis relies on two fixed point theorems of a sum operator in partial ordering Banach space. The main results obtained can not only guarantee the existence of a unique positive solution, but also be applied to construct an iterative scheme for approximating it.

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