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Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)

Author

Listed:
  • 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.

Suggested Citation

  • Shams A. Ahmed & Tarig M. Elzaki & Abdelgabar Adam Hassan, 2020. "Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:4725150
    DOI: 10.1155/2020/4725150
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    References listed on IDEAS

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    1. Fethi Bin Muhammed Belgacem & Ahmed Abdullatif Karaballi, 2006. "Sumudu transform fundamental properties investigations and applications," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-23, May.
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    Cited by:

    1. Jia Honggang & Zhao Yanmin, 2022. "Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations," Complexity, John Wiley & Sons, vol. 2022(1).
    2. Alemayehu Tamirie Deresse, 2022. "Double Sumudu Transform Iterative Method for One‐Dimensional Nonlinear Coupled Sine‐Gordon Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).

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