Existence of Solutions for Nonlocal Boundary Value Problem of Hadamard Fractional Differential Equations

Abstract

We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with non-local integral boundary conditions, by using the Leray Schauder nonlinear alternative, Leray Schauder degree theory, Krasnoselskiis fixed point theorem, Schaefers fixed point theorem, Banach fixed point theorem, Nonlinear Contractions. Two examples are also presented to illustrate our results.

Keywords

• Hadamard fractional derivative,Hadamard fractional integral,Fractional differential equation,Integral boundary conditions,Existence,Fixed point

Kaynakça

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