Mikailalsys Journal of Mathematics and Statistics
Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics

Solution of System of Volterra Integral Equations Using the Complex Sadiq Emad Eman Integral Transform

T., Ezra E. (Unknown)
J., Ankale H. (Unknown)
Y., Hali I. (Unknown)



Article Info

Publish Date
19 May 2025

Abstract

Various analytical methods have been developed for solving systems of Volterra integral equations of both the first and second kind. In this study, we adopt and apply the complex Sadiq Eman Emad (SEE) integral transform as a novel approach for obtaining solutions to such systems. The complex SEE transform provides an effective framework for simplifying and solving integral equations through the use of operational techniques. This research explores the theoretical formulation of the transform, its properties including convolution and inverse operations and demonstrates its application through illustrative examples. The results confirm that the complex SEE integral transform offers a practical and efficient alternative for solving systems of Volterra integral equations, highlighting its potential for broader use in mathematical and engineering problems involving integral operators.

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Journal Info

Abbrev

MJMS

Publisher

Subject

Engineering Mathematics Mechanical Engineering

Description

The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical ...