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The New Integral Transform: E Transform\" and Its Applications"

Author

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  • Ervenila Musta Xhaferraj

    (Department of Mathematical Engineering, Faculty of Mathematical Engineering and Physics Engineering, Polytechnic University of Tirana, Albania)

Abstract

This work introduces a new integral transform for functions of exponential order called “NE integral transform†. We prove some properties of NE -transform. Also, some applications of the NE- transform to find the solution to ordinary linear equation are given. The relationships of the new transform with well-known transforms are characterized by integral identities. We study the properties of this transform. Then we compare it with few exiting integral transforms in the Laplace family such as Laplace, Sumudu, Elzaki , Aboodh and etc. As well, the NE integral transform is applied and used to find the solution of linear ordinary differential equations.

Suggested Citation

  • Ervenila Musta Xhaferraj, 2022. "The New Integral Transform: E Transform\" and Its Applications"," European Journal of Formal Sciences and Engineering, European Center for Science Education and Research, vol. 6, January -.
    • Handle: RePEc:eur:ejfejr:65
    as

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    References listed on IDEAS

    as
    1. Y.-L. Cui & B. Chen & R. Xiong & Y.-F. Mao, 2013. "Application of the Z-transform technique to modeling the linear lumped networks in the HIE-FDTD method," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 27(4), pages 529-538, March.
    2. Boyadjiev, Lyubomir & Luchko, Yuri, 2017. "Mellin integral transform approach to analyze the multidimensional diffusion-wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 127-134.
    3. Hasan Bulut & Haci Mehmet Baskonus & Fethi Bin Muhammad Belgacem, 2013. "The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
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