Abstract
AbstractThe 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.
Highlights
Integral equations are an important topic in functional analysis
They are stratified in the characterization of many real life events such as processes encountered in nuclear physics [4], heat conduction [5], electromagnetic [6] and multimedia processing [7]
Among the many integral equations that were established in mathematical analysis and were stratified to many areas of engineering and real life sciences, an efficient and effective role is played by integral equations of fractional kernels [8,9,10,11]
Summary
Integral equations are an important topic in functional analysis (see, [1,2,3], for examples). Nieto et al [14] proposed some new versions of the fixed point theorems in the algebra of generalized Banach spaces. Hashem [22] investigated a more generalized coupled system of Chandrasekhar integral equations which is given by t. In 2019, Jeribi et al [21] investigated the solvability of the following coupled system of Chandrasekhar functional integral equations: f1(s, v(s) ) ds, t ∈ [0, 1],. Jeribi et al [26] applied a fixed point approach for a 2 × 2 block operator matrix to study the solvability for infinite system of integral equations.
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