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

Authors : Subramanian MUTHAİAH, Manigandan MURUGESAN, Nandha Gopal THANGARAJ

Pages : 162-173

Doi:10.31197/atnaa.579701

View : 16 | Download : 20

Publication Date : 2019-08-31

Article Type : Research Paper

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