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Duality of Shehu transform with other well known transforms and application to fractional order differential equations. [PDF]
PLoS ONEIntegral transforms are used in many research articles in the literature, due to their interesting applications in the solutions of problems of applied science and engineering.
Nabil Mlaiki +4 more
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A new general integral transform for solving integral equations
Journal of Advanced Research, 2021 Introduction: Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic equation that can be solved easily.During ...
Hossein Jafari
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Some New Inequalities on Laplace–Stieltjes Transforms Involving Logarithmic Growth
Fractal and Fractional, 2022 This article is devoted to exploring the properties on the logarithmic growth of entire functions represented by Laplace–Stieltjes transforms of zero order.
Hongyan Xu, Hong Li, Zuxing Xuan
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Unilateral Laplace Transforms on Time Scales
Mathematics, 2022 We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.
Müfit Şan, Manuel D. Ortigueira
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Journal of Function Spaces, 2020 One purpose of this paper is to study the growth of entire functions defined by Laplace-Stieltjes transform converges on the whole complex plane, by introducing the concept of p,q-proximate order, and one equivalence theorem of the p,q-proximate order of
Yong Qin Cui, Hong Yan Xu
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Journal of Function Spaces, 2021 Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan +3 more
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The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
Journal of Function Spaces, 2021 The main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane.
Xia Shen, Hong Yan Xu
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Decreasing properties of two ratios defined by three and four polygamma functions
Comptes Rendus. Mathématique, 2022 In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three monotonicity rules for the ratios of two functions, of two definite integrals, and of two Laplace transforms, in terms of the majorization, and in the ...
Qi, Feng
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Revisiting the 1D and 2D Laplace Transforms
Mathematics, 2020 The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem.
Manuel Duarte Ortigueira +1 more
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ABOUT THE EQUALITY OF THE TRANSFORM OF LAPLACE TO THE TRANSFORM OF FOURIER
Проблемы анализа, 2016 We proved that the transform of Laplace does not have complex part on the complex axis for the wide class of functions in different situations. The main theorem is proved presenting a function as sum of two Laplace transforms.
Pavlov Andrey V.
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