Existence and Uniqueness of Solutions of Systemof Linear Equations and Non-Linear Differential Equations Using Modular B-Metric Integral Type Contractions.

Abstract

This study determines the existence and uniqueness of solutions of n ×n systems of linear equations and non-linear differential equations (ODE’s) using modular b−metric integral type contractions. Additionally, we analyze the fixed point theory using integral type contractions in modular b−metric spaces. The results of this research are expected to significantly contribute to the fixed point theory and stimulate further exploration in applied mathematics and theoretical computer science, paving a way for innovative methodologies and applications of modular b−metric integral type contractions.