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On an integral transform

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral ...
D. Naylor
doaj   +1 more source

On Integral Transforms [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1956
Titchmarsh and others [4] havo studied integral transform pairs of tho typeshowing how such pairs may be generated as a consequence of the relation which holds between the Mellin transforms of the kernels.
openaire   +1 more source

Another kind of general integral transform called “emad-salam-elaf transform” [PDF]

open access: yesBIO Web of Conferences
This article introduces another type of integral transformation in its general format; this general transformation is proposed as a new general integral transformation called the “Emad-Salam-Elaf Transform.” This general integral transformation is ...
Abdulhussein Sehen Salam   +2 more
doaj   +1 more source

On the Mohand Transform and Ordinary Differential Equations with Variable Coefficients

open access: yesمجلة المختار للعلوم, 2020
The Mohand transform is a new integral transform introduced by Mohand M. Abdelrahim Mahgoub to facilitate the solution of differential and integral equations.
Mohamed E. Attaweel, Haneen Almassry
doaj   +1 more source

Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform

open access: yesAdvances in Mathematical Physics, 2021
In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay   +3 more
doaj   +1 more source

Effects of the ARA transform method for time fractional problems [PDF]

open access: yesMathematica Moravica, 2022
The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
doaj   +1 more source

Henstock-Kurzweil Integral Transforms [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .
Salvador Sánchez-Perales   +2 more
openaire   +3 more sources

On an Application of Lattice Integral Transforms in Image Processing

open access: yesMathematics, 2022
The lattice integral transforms have been introduced to generalize lower and upper fuzzy transforms for lattice-valued functions that are used to approximate original functions from below and above.
Michal Holčapek   +2 more
doaj   +1 more source

Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics

open access: yesAbstract and Applied Analysis, 2021
The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace–Sumudu transform (DLST) and prove some related theorems of the new double transform.
Shams A. Ahmed
doaj   +1 more source

Jafari Transformation for Solving a System of Ordinary Differential Equations with Medical Application

open access: yesFractal and Fractional, 2021
Integral transformations are essential for solving complex problems in business, engineering, natural sciences, computers, optical science, and modern mathematics.
Ahmed I. El-Mesady   +2 more
doaj   +1 more source

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