Solvability of Weakly Singular Integral Equation in Banach Spaces

الموضوعات :

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

تاريخ الإرسال : 17 الأربعاء , ربيع الثاني, 1445 تاريخ التأكيد : 09 السبت , ذو الحجة, 1445 تاريخ الإصدار : 09 السبت , ذو الحجة, 1445

الکلمات المفتاحية: integral equation, weakly singular integral equation, k-set contraction,

ملخص المقالة :

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.