Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

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DOI: 10.4236/am.2017.83026    588 Downloads   762 Views  

ABSTRACT

This paper studies the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach’s contraction principle and the Schauder’s fixed point theorem. In addition, an example is given to demonstrate the application of our main results.

Cite this paper

Sun, Y. , Zeng, Z. and Song, J. (2017) Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation. Applied Mathematics, 8, 312-323. doi: 10.4236/am.2017.83026.

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