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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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On the Laplace-Type Transform and Its Applications
AxiomsUsing the Laplace transform and the Gamma function, we obtain the Laplace-type transform, with the property of mapping a function to a functional sequence, which cannot be realized by the Laplace transform. In addition, we construct a backward difference
Slobodan B. Tričković +1 more
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The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane [PDF]
Journal of Inequalities and Applications, 2018 By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms.
Hong Yan Xu, Hua Wang
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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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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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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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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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Can transfer function and Bode diagram be obtained from Sumudu transform
Alexandria Engineering Journal, 2020 In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and ...
Abdon Atangana, Ali Akgül
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Results in Physics, 2023 Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran +4 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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