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Existence of solutions for fractional differential equations with multi-point boundary conditions |
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| Authors: | Wen-Xue Zhou Yan-Dong Chu |
| Affiliation: | a Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China b Department of Mathematics, Xi’an Jiaotong University, Xi’an 710049, China |
| Abstract: | We discuss the existence of solutions for a nonlinear multi-point boundary value problem of integro-differential equations of fractional order q ∈ (1, 2]. Our analysis relies on the contraction mapping principle and the Krasnoselskii’s fixed point theorem. Example is provided to illustrate the theory. |
| Keywords: | Multi-point boundary value problem Fractional differential equations Caputo fractional derivative Contraction mapping theorem |
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