Existence Results for a Class of Boundary Value Problems for Fractional Differential Equations

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Abstract

By application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of fractional differential equations. This paper is motivated by Agarwal et al. (Georgian Math. J. 16 (2009) No.3, 401-411).

Description

Keywords

Fractional Differential Equations, Boundary Value Problems, Caputo Fractional Derivative, Uniqueness, Existence, Fixed Point, Matematik, Ex-istence, Fractional differential equations, Caputo fractional derivative, fixed point, boundary value problems, uniqueness, ex-istence, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, existence, fractional differential equations, Fractional ordinary differential equations

Fields of Science

0101 mathematics, 01 natural sciences

Citation

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Volume

45

Issue

3

Start Page

1149

End Page

1165