Solvability of Weakly Singular Integral Equation in Banach Spaces

محورهای موضوعی : Fixed Point Theory and its Applications

Hamid Sahebi ¹

1 - Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

تاریخ دریافت : 1402/08/10 تاریخ پذیرش : 1403/03/26 تاریخ انتشار : 1403/03/26

کلید واژه: integral equation, weakly singular integral equation, k-set contraction,

چکیده مقاله :

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.

چکیده انگلیسی:

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.