Laplace Transform for Solving System of Integro-Fractional Differential Equations of Volterra Type with Variable Coefficients and Multi-Time Delay

Symmetry

Shazad Shawki Ahmad¹  Miran B. M. Amin² 

[1] Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Iraq;Technical College of Informatics, Sulaimani Polytechnic University, Sulaymaniyah 46001, Iraq;

关键词: system fractional-integro differential equation;    Laplace transform;    Caputo fractional derivative;    delay differential equations;    difference and simple degenerate kernels;   

DOI  :  10.3390/sym14050984

来源: DOAJ

【 摘 要 】

This study is the first to use Laplace transform methods to solve a system of Caputo fractional Volterra integro-differential equations with variable coefficients and a constant multi-time delay. This technique is based on different types of kernels, which we will explain in this paper. Symmetry kernels, which have properties of difference kernels or simple degenerate kernels, are able to compute analytical work. These are demonstrated by solving certain examples and analyzing the effectiveness and precision of cause techniques.

【 授权许可】

Unknown