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Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
School of Mathematics and Statistics, Shaoguan University, Shaoguan, China
Office of Party Committee, Foshan University, Foshan, China
School of Mathematics and Statistics, Shaoguan University, Shaoguan, China
- 1 School of Mathematics and Statistics, Shaoguan University, Shaoguan, China
- 2 Office of Party Committee, Foshan University, Foshan, China
- 3 School of Mathematics and Statistics, Shaoguan University, Shaoguan, China
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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.
KeywordsFractional Order Differential EquationsBoundary Value ProblemCaputo Fractional DerivativeFractional IntegralFixed Point
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