Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type

Abstract

The combined systems of integral equations have become of great importance in various fields of sciences such as electromagnetic and nuclear physics. New classes of the merged type of Urysohn Volterra-Chandrasekhar quadratic integral equations are proposed in this paper. This proposed system involves fractional Urysohn Volterra kernels and also Chandrasekhar kernels. The solvability of a coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type is studied. To realize the existence of a solution of those mixed systems, we use the Perov’s fixed point combined with the Leray-Schauder fixed point approach in generalized Banach algebra spaces.

Extension of Darbo’s fixed point theorem via shifting distance functions and its application

“…Recently, number of articles have been published in connection: with scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions, coupled systems of integral equations of Urysohn Volterra-Chandrasekhar mixed type, noninstantaneous impulsive fractional integro-differential equations, fractional differential equations, and proximity theory (the readers can consult the papers [14,[16][17][18]22] and references therein).…”

“…In [22], Nabil has studied the solvability of a coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type. To realize the existence of a solution of those mixed systems, he has use the Perov's fixed point combined with the Leray-Schauder fixed point approach in generalized Banach algebra spaces.…”