TITLE:
Existence of Solutions of Three-Dimensional Fractional Differential Systems
AUTHORS:
Vadivel Sadhasivam, Jayapal Kavitha, Muthusamy Deepa
KEYWORDS:
Fractional Differential Equations, Boundary Value Problem, Coincidence Degree Theory
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.2,
February
27,
2017
ABSTRACT: In this article, we consider the three-dimensional fractional differential system of the form
together with the Neumann boundary conditions,
where are the standard Caputo fractional derivatives, . A new result on the existence of solutions for a class of fractional differential system is obtained by using Mawhin’s coincidence degree theory. Suitable examples are given to illustrate the main results.