Subramanian Muthaiah, Manigandan Murugesan, Nandha Gopal Thangaraj
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamil Nadu, India
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.
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 Application, 3(3), 162-173.