On Some Problems of Mixed Integral Equations

ISBN-13: 9786200777027 / Angielski / Miękka / 2020 / 60 str.

Mohammed Abdel-Aty; Mohammed Abdou; Mohammed Nasr

Opis

This book presents a solution of the Volterra-Fredholm integralequation (V-FIE) in a Banach space. Under certain conditions, the existence anduniqueness of the solution are proved, using Banach's fixed point theorem. Using a numerical technique the V-FIE leads us to a system of linear Fredholm integral equations (SLFIEs). The normality and the continuity of integral operatorare discussed. The degenerate kernel method (DKM) is used to get the solution of the reduced system.The ideas are interesting and this area caught the attention of many researchers, having so many applications. This paper starts with a brief introduction in the subject and then proposes a new scheme which is discussed in details. The numerical examples illustrate the applicability of the theoretical results.

O autorze

Abdel-Aty, Mohammed
Dr. Mohamed AbdullahI live in Egypt. I hold a bachelor's degree in Mathematics Department. I was born in March. I love swimming and reading. I have a master's degree in pure mathematics (integral equations). I hope to do many important papers that serve society and the environment.