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

Year 2019, , 162 - 173, 31.08.2019

Subramanian Muthaiah , Manigandan Murugesan Nandha Gopal Thangaraj

https://doi.org/10.31197/atnaa.579701

Cited By: 22

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

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