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

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

We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with nonlocal integral boundary conditions, by using the Leray-Schauder nonlinear alternative, Leray Schauder degree theorem, Krasnoselskiis fixed point theorem, Schaefers fixed point theorem, B...

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Bibliographic Details
Main Authors: Subramanian Muthaiah, Manigandan Murugesan, Nandha Gopal Thangaraj
Format: Article
Language:English
Published: ATNAA 2019-09-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
hadamard fractional derivative; hadamard fractional integral; fractional differential equation; integral boundary conditions; existence; fixed point.
Online Access:https://dergipark.org.tr/en/download/article-file/820197
Description
Summary:We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with nonlocal integral boundary conditions, by using the Leray-Schauder nonlinear alternative, Leray Schauder degree theorem, Krasnoselskiis fixed point theorem, Schaefers fixed point theorem, Banach fixed point theorem, Nonlinear Contractions. Two examples are also presented to illustrate our results.
ISSN:2587-2648
2587-2648

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