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New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is
Shehu Maitama, Weidong Zhao
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Irregular holonomic kernels and Laplace transform [PDF]
, 2014 Given a (not necessarily regular) holonomic D-module defined on the product of two complex manifolds, we prove that the associated correspondence commutes (in some sense) with the De Rham functor.
Kashiwara, Masaki, Schapira, Pierre
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Existence and Uniqueness Study of the Conformable Laplace Transform
Journal of Mathematics, 2022 This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis +4 more
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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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The Tsallis–Laplace transform [PDF]
Physica A: Statistical Mechanics and its Applications, 2013 30 pages, no figures. Title has changed. Text has changed.
Mario Carlos Rocca +2 more
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A general quantum Laplace transform
Advances in Difference Equations, 2020 In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata +2 more
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On exit time of stable processes [PDF]
, 2011 We study the exit time $\tau=\tau_{(0,\infty)}$ for 1-dimensional strictly stable processes and express its Laplace transform at $t^\alpha$ as the Laplace transform of a positive random variable with explicit density.
Graczyk, Piotr, Jakubowski, Tomasz
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The Generalized Stieltjes Transform and Its Inverse [PDF]
, 2004 The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter $\rho > 0$. In previous work a convenient form of the inverse transformation was derived for the case $\rho = 3/2$. This paper generalizes that result to all $\
Schwarz, John H.
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Hankel Multipliers of Laplace Transform Type [PDF]
, 2010 In this paper we prove that the Hankel multipliers of Laplace transform type on $(0,1)^n$ are of weak type (1,1). Also we analyze Lp-boundedness properties for the imaginary powers of Bessel operator on $(0,1)^n$.Comment: 32 ...
Betancor, J. J. +2 more
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Partial Differential Equations in Applied Mathematics, 2023 This paper is devoted to the study of the quaternion Laplace transform, which is a natural generalization of the classical Laplace transform using the quaternion algebra. We find that some of its properties such as derivative, convolution and correlation
Muhammad Afdal Bau +4 more
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