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The Intrinsic Structure and Properties of Laplace-Typed Integral Transforms

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  • Hwajoon Kim

Abstract

We would like to establish the intrinsic structure and properties of Laplace-typed integral transforms. The methodology of this article is done by a consideration with respect to the common structure of kernels of Laplace-typed integral transform, and -transform, the generalized Laplace-typed integral transform, is proposed with the feature of inclusiveness. The proposed -transform can provide an adequate transform in a number of engineering problems.

Suggested Citation

  • Hwajoon Kim, 2017. "The Intrinsic Structure and Properties of Laplace-Typed Integral Transforms," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:1762729
    DOI: 10.1155/2017/1762729
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    Cited by:

    1. Mamta Kapoor & Nehad Ali Shah & Salman Saleem & Wajaree Weera, 2022. "An Analytical Approach for Fractional Hyperbolic Telegraph Equation Using Shehu Transform in One, Two and Three Dimensions," Mathematics, MDPI, vol. 10(12), pages 1-26, June.
    2. Khirsariya, Sagar R. & Rao, Snehal B. & Chauhan, Jignesh P., 2023. "A novel hybrid technique to obtain the solution of generalized fractional-order differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 272-290.

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