Existence and nonexistence of positive solutions for nonlinear higher order BVP with fractional integral boundary conditions in Banach spaces

被引：0

作者：

Fulya Yoruk Deren

机构：

[1] Ege University,Department of Mathematics

来源：

Advances in Difference Equations | / 2015卷

关键词：

fixed point theorem; measure of noncompactness; positive solutions; 34B10; 39A10; 34B18; 45G10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By means of the fixed point theory for a strict set contraction operator, this paper investigates the existence, nonexistence, and multiplicity of positive solutions for a nonlinear higher order boundary value problem with four point fractional integral boundary conditions in Banach spaces. In addition, an example is worked out to illustrate the main results.

引用

共 50 条

[1] Existence and nonexistence of positive solutions for nonlinear higher order BVP with fractional integral boundary conditions in Banach spaces
Deren, Fulya Yoruk
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 24
[2] Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces
Zhao, Junfang
Wang, Peiguang
Ge, Weigao
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) : 402 - 413
[3] Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions
Min Li
Jian-Ping Sun
Ya-Hong Zhao
[J]. Advances in Difference Equations, 2020
[4] Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions
Li, Min
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Zhao, Ya-Hong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[5] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH INTEGRAL BOUNDARY CONDITIONS
Zhou, Chenxing
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
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Ding, Wei
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
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Dan Fu
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[J]. Advances in Difference Equations, 2013
[8] On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces
Salem, Hussein A. H.
Cichon, Mieczyslaw
[J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[9] Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter
Wang L.
Zhang X.
[J]. Journal of Applied Mathematics and Computing, 2014, 44 (1-2) : 293 - 316
[10] Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions
Li, Min
Sun, Jian-Ping
Zhao, Ya-Hong
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020

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