Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations

A class of nonlinear multipoint boundary value problems for singular fractional differential equations is considered. By means of a coupled fixed point theorem on ordered sets, some results on the existence and uniqueness of positive solutions are obtained.

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Uniqueness of positive solutions for boundary value problems of singular fractional differential equations

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2011.603726 ◽

2012 ◽

Vol 20 (3) ◽

pp. 299-309 ◽

Cited By ~ 20

Author(s):

Shurong Sun ◽

Yige Zhao ◽

Zhenlai Han ◽

Meirong Xu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Fractional Differential Equations ◽

Boundary Value ◽

Singular Fractional Differential Equations ◽

Fractional Differential

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Existence of three positive solutions for boundary value problems of singular fractional differential equations

Fractional Differential Calculus ◽

10.7153/fdc-02-04 ◽

2012 ◽

pp. 55-69 ◽

Cited By ~ 2

Author(s):

Yuji Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Fractional Differential Equations ◽

Boundary Value ◽

Singular Fractional Differential Equations ◽

Fractional Differential

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Existence and Uniqueness on Solutions for Anti-Periodic Boundary Value Problems of Singular Fractional Differential Equations with P-Laplacian Operator

Advances in Applied Mathematics ◽

10.12677/aam.2021.1011386 ◽

2021 ◽

Vol 10 (11) ◽

pp. 3650-3658

Author(s):

婷婷张

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Fractional Differential Equations ◽

Existence And Uniqueness ◽

Periodic Boundary ◽

Boundary Value ◽

Laplacian Operator ◽

Periodic Boundary Value Problems ◽

Singular Fractional Differential Equations ◽

Fractional Differential

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Multiple positive solutions to singular positone and semipositone Dirichlet-type boundary value problems of nonlinear fractional differential equations

Nonlinear Analysis ◽

10.1016/j.na.2011.05.055 ◽

2011 ◽

Vol 74 (16) ◽

pp. 5685-5696 ◽

Cited By ~ 19

Author(s):

Xiaojie Xu ◽

Daqing Jiang ◽

Chengjun Yuan

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Fractional Differential Equations ◽

Boundary Value ◽

Multiple Positive Solutions ◽

Nonlinear Fractional Differential Equations ◽

Dirichlet Type ◽

Fractional Differential ◽

Type Boundary

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Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4106 ◽

2016 ◽

Vol 40 (6) ◽

pp. 1892-1904 ◽

Cited By ~ 9

Author(s):

Xiaochen Li ◽

Xiping Liu ◽

Mei Jia ◽

Yan Li ◽

Sha Zhang

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Fractional Differential Equations ◽

Boundary Value ◽

Infinite Interval ◽

Integral Boundary ◽

Existence Of Positive Solutions ◽

Fractional Differential ◽

Integral Boundary Value Problems

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Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations

Abstract and Applied Analysis ◽

10.1155/2013/162418 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Cited By ~ 2

Author(s):

Yansheng Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Fractional Differential Equations ◽

Topological Degree ◽

Boundary Value ◽

Degree Theory ◽

Topological Degree Theory ◽

Existence Of Positive Solutions ◽

Fractional Differential

This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.

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