Results 11 to 20 of about 2,172 (215)
Proceedings 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.
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A Generalization of Integral Transform
European Journal of Pure and Applied Mathematics, 2018 In this paper, the generalization of integral transform (GIT) of the func-tion G{f (t)} is introduced for solving both differential and interodif-ferential equations. This transform generalizes the integral transformswhich use exponential functions as their kernels and the integral trans-form with polynomial function as a kernel.
Barnes, Benedict, Sebil, C., Quaye, A.
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On the Mohand Transform and Ordinary Differential Equations with Variable Coefficients
مجلة 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
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Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform
Advances 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
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On an Application of Lattice Integral Transforms in Image Processing
Mathematics, 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
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Effects of the ARA transform method for time fractional problems [PDF]
Mathematica 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
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Fractal and Fractional, 2023 In this study, we delve into the general theory of operator kernel functions (OKFs) in operational calculus (OC). We established the rigorous mapping relation between the kernel function and the corresponding operator through the primary translation ...
Xiaobin Yu, Yajun Yin
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Henstock-Kurzweil Integral Transforms [PDF]
International 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
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A New Integral Transform and Applications: HK-Transform
Zanco Journal of Pure and Applied SciencesIn this paper, we propose a new integral transform called the Transform and employ it to analytically solve the Volterra integral equations (VIE.) of the first kind.
Hozan Hilmi, Karwan HamaFaraj Jwamer
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A transition integral transform obtained from generalization of the Fourier transform
Ain Shams Engineering Journal, 2019 We introduce a generalized integral transform (GIT) whose integration path lies on the complex plane. The GIT has both bilateral and unilateral versions, and generalizes a set of known integral transforms, e.g. Fourier, Laplace, allowing to solve integro-
Rafael G. González-Acuña +1 more
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