Nonexistence of Positive Solutions for a Four-Point Boundary Value Problem for Fractional Differential Equation

Nonexistence of Positive Solutions for a Four-Point Boundary Value Problem for Fractional Differential Equation

Year:    2018

Author:    Chunfang Shen

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 1 : pp. 71–79

Abstract

In this paper, we investigate the nonexistence of positive solutions for a class of four-point boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-AAM-20563

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 1 : pp. 71–79

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    positive solution fractional differential equation fixed point cone.

Author Details

Chunfang Shen