Solvability of Weakly Singular Integral Equation in Banach Spaces

Subject Areas : Fixed Point Theory and its Applications

Hamid Sahebi ¹ (Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran)

Received: 2023-11-01 Accepted : 2024-06-15 Published : 2024-06-15

Keywords: integral equation, weakly singular integral equation, k-set contraction,

Abstract :

In this attend, a new weakly singular fractional integral equation is presented. Under the suitable control conditions on parameters, we prove a existence solution theorem for the proposed equation. Finally, some examples are given and with the help of MATLAB R2018a parameters is finding.