Open Access

  

Original research article

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

Author(s):

Subramanian Muthaiah, Manigandan Murugesan, Nandha Gopal Thangaraj

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamil Nadu, India

Advances in the Theory of Nonlinear Analysis and its Applications 3(3), 162-173.
Received: June 26, 2019

  

  

  

Accepted: September 19, 2019

  

Published: September 30, 2019

Abstract

We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with nonlocal integral boundary conditions by applying the Leray–Schauder nonlinear alternative, Leray–Schauder degree theorem, Krasnoselskii’s fixed point theorem, Schaefer’s fixed point theorem, and Banach’s fixed point theorem for nonlinear contractions. Two examples are presented to illustrate the obtained results.

Keywords: Hadamard fractional derivative, Hadamard fractional integral, fractional differential equation, integral boundary conditions, existence, fixed point.

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APA Style

Muthaiah, S., Murugesan, M., & Thangaraj, N. G. (2019). Existence of solutions for nonlocal boundary value problem of Hadamard fractional differential equations. Advances in the Theory of Nonlinear Analysis and its Application3(3), 162-173.