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Zbl 1189.34036
Zhong, Wenyong; Lin, Wei
Nonlocal and multiple-point boundary value problem for fractional differential equations. (English)
[J] Comput. Math. Appl. 59, No. 3, 1345-1351 (2010). ISSN 0898-1221

Summary: 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.

MSC 2000:: *34B10 Multipoint boundary value problems
26A33 Fractional derivatives and integrals (real functions)
34A08
45J05 Integro-ordinary differential equations

Keywords: nonlocal boundary value problem; caputo's fractional derivative; fractional integral; fixed point theorems

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