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

Author

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  • 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, Hindawi, vol. 2020, pages 1-7, October.
    • Handle: RePEc:hin:jnlaaa:4725150
    DOI: 10.1155/2020/4725150
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    Cited by:

    1. Rania Saadeh & Ahmad Qazza & Aliaa Burqan, 2022. "On the Double ARA-Sumudu Transform and Its Applications," Mathematics, MDPI, vol. 10(15), pages 1-19, July.

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