On using topological degree theory to investigate a coupled system of non linear hybrid differential equations

In this work we discuss the existence of solutions of nonlinear fractional differential equations. By using the topological degree theory, some results on the existence of solutions are obtained. Our analysis relies on the reduction of the problem considered to the equivalent system of Fredholm integral equations. As applications, an examples is also provided to illustrate our main results.

Keywords:

Hybrid initial value problem , K-condensing , Existence of fixed point without compactness theorem , Caputo fractional derivative