Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)
Shams A. Ahmed, Tarig M. Elzaki, Abdelgabar Adam Hassan
Abstract
The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations. The theorems handling fashionable properties of the Laplace–Sumudu transform are proved; the convolution theorem with an evidence is mentioned; then, via the usage of these outcomes, the solution of integral differential equations is built.
Topics & Concepts
Laplace transformMathematicsLaplace transform applied to differential equationsConvolution theoremConvolution (computer science)Integral transformMathematical analysisTwo-sided Laplace transformDifferential (mechanical device)Laplace–Stieltjes transformIntegral equationInverse Laplace transformApplied mathematicsFourier transformFractional Fourier transformComputer scienceAerospace engineeringMachine learningEngineeringArtificial neural networkFourier analysisFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials