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Paper Details
Paper Title
Inversion Theorem of Laplace-Fractional Mellin Transform
Authors
  V. D. Sharma,  M. M. Thakare
Abstract
Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
— Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
— Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
— Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
— Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
— Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
Integral transforms appears in many field of applied mathematics, physics, and engineering. There are several kinds of integral transforms and they have wide applications in today’s technology. Recently many researchers studied some properties of applications of Mellin transform in fractional sense. Mellin transform is closely connected to Laplace transform and Fourier transform. In this paper Laplace-Fractional Mellin transform is extended in distributional generalized sense. Inversion formula for the Laplace-Fractional Mellin transform is proved.
Keywords- Laplace transform, Mellin Transform, Fractional Mellin Transform, Laplace-Fractional Mellin transform.
Publication Details
Unique Identification Number - IJEDR1803088Page Number(s) - 519-521Pubished in - Volume 6 | Issue 3 | September 2018DOI (Digital Object Identifier) -    Publisher - IJEDR (ISSN - 2321-9939)
Cite this Article
  V. D. Sharma,  M. M. Thakare,   "Inversion Theorem of Laplace-Fractional Mellin Transform", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.6, Issue 3, pp.519-521, September 2018, Available at :http://www.ijedr.org/papers/IJEDR1803088.pdf
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