Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions

We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0 , 1. We use Banach’s fixed-point theorem and Hölder’s inequality to verify the existence and uniqueness of a...

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Bibliographic Details
Published inBoundary value problems Vol. 2022; no. 1; pp. 1 - 16
Main Author Yan, Debao
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 14.01.2022
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Existence theorems
Fixed point theorem
Fixed points (mathematics)
Fractional differential equation
Integral boundary condition
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Singular boundary value problem
Fractional differential equation
34B16
Fixed point theorem
Singular boundary value problem
Integral boundary condition
34B10
34A08
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Summary:We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0 , 1. We use Banach’s fixed-point theorem and Hölder’s inequality to verify the existence and uniqueness of a solution. Moreover, also we prove the existence of solutions by Krasnoselskii’s and Schaefer’s fixed point theorems.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-022-01585-2