Nonlocal and multiple-point boundary value problem for fractional differential equations

In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one solution in the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equation. Furthermore, we provide a rep...

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Published inComputers & mathematics with applications (1987) Vol. 59; no. 3; pp. 1345 - 1351
Main Authors Zhong, Wenyong, Lin, Wei
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2010
Subjects
Caputo’s fractional derivative
Fixed point theorems
Fractional integral
Nonlocal boundary value problem
Fixed point theorems
Nonlocal boundary value problem
Caputo’s fractional derivative
Fractional integral
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Abstract In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one solution in the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equation. Furthermore, we provide a representative example to illustrate a possible application of the established analytical results.
AbstractList In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one solution in the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equation. Furthermore, we provide a representative example to illustrate a possible application of the established analytical results.
Author Lin, Wei
Zhong, Wenyong
Author_xml – sequence: 1
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  givenname: Wei
  surname: Lin
  fullname: Lin, Wei
  email: wlin@fudan.edu.cn
  organization: School of Mathematical Sciences, Research Center and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai 200433, People’s Republic of China
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Keywords Fixed point theorems
Nonlocal boundary value problem
Caputo’s fractional derivative
Fractional integral
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Snippet In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one...
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StartPage 1345
SubjectTerms Caputo’s fractional derivative
Fixed point theorems
Fractional integral
Nonlocal boundary value problem
Title Nonlocal and multiple-point boundary value problem for fractional differential equations
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