Results 31 to 40 of about 493 (95)
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a generalized Laplace transform, denoted by Lϕ, defined through a strictly increasing kernel function ϕ(t). Unlike prior works that focus on formal definitions, our framework unifies classical, Gaussian, and Mellin‐type transforms while providing a systematic operational calculus.
Rubayyi T. Alqahtani +2 more
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A note on some spaces Lγ of distributions with Laplace transform
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 243-246, 1990., 1990 In this paper we calculate the dual of the spaces of distributions Lγ introduced in [1]. Then we prove that Lγ is the dual of a subspace of C∞(ℝ).
Salvador Pérez Esteva
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Solutions of certain initial-boundary value problems via a new extended Laplace transform
Nonlinear EngineeringIn this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya +2 more
doaj +1 more source
A Closed-Form Solution to the Arbitrary Order Cauchy Problem with Propagators [PDF]
, 2014 The general abstract arbitrary order (N) Cauchy problem was solved in a closed form as a sum of exponential propagator functions. The infinite sparse exponential series was solved with the aid of a homogeneous differential equation. It generated a linear
Stenlund, Henrik
core
On asymptotic effects of boundary perturbations in exponentially shaped Josephson junctions
, 2014 A parabolic integro differential operator L, suitable to describe many phenomena in various physical fields, is considered. By means of equivalence between L and the third order equation describing the evolution inside an exponentially shaped Josephson ...
De Angelis, Monica, Renno, Pasquale
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A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit +4 more
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The generalized sampling theorem for transforms of not necessarily square integrable functions
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 2, Page 355-358, 1985., 1985 It is known that the generalized sampling theorem is valid for certain finite limit integral transforms of square integrable functions. In this note, we will extend the validity of the theorem to include transforms of absolutely integrable functions associated with differentiable kernels.
A. J. Jerri
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, 2015 The Laplace transforms of the transition probability density and distribution functions for the Ornstein-Uhlenbeck process contain the product of two parabolic cylinder functions, namely D_{v}(x)D_{v}(y) and D_{v}(x)D_{v-1}(y), respectively.
Veestraeten, Dirk
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A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for the fractional differential equations and fractional kinetic equations expressed in terms of Prabhakar’s Mittag ...
B. B. Jaimini +5 more
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Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 589-596, 1983., 1983 Multidimensional Laplace transformations are used to obtain the surface temperature and the surface heat flux of a plate with a fluid flowing across it without solving the complete boundary value problem. It is also shown that the constant initial and boundary values can be relaxed and the method still applies.
R. G. Buschman
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