Results 11 to 20 of about 11,539 (265)

Numerical solution of Bagley–Torvik equation including Atangana–Baleanu derivative arising in fluid mechanics

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, Muhammad Asif, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad   +4 more
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On Laplace Transform [PDF]

Journal of the Australian Mathematical Society, 1971
In this paper we suppose that the function s(x) is integrable in the Lebesgue sense for every finite interval of x ≥ 0. If exists, we say that the integral exists.
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The h-Laplace and q-Laplace transforms

Journal of Mathematical Analysis and Applications, 2010
For a given function \(x\) with complex values the \(h\)-Laplace transform is defined as \[ (h/(1+hz))\sum^\infty_{k=0}x(kh)/(1+ hz)^k, \] and the \(q\)-Laplace transform as \[ (q-1)\sum^\infty_{n=0} q^nx(q^n)/\prod^n_{k=0} (1+(q- 1)q^k z), \] where \(z\) is the complex variable in the image domain.
Bohner, Martin, Guseinov, Gusein Sh.
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On the Laplace Transform of the Lognormal Distribution [PDF]

Methodology and Computing in Applied Probability, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asmussen, Søren, Jensen, Jens Ledet, Rojas-Nandayapa, Leonardo   +2 more
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On q-double modified Laplace transform [PDF]

Mathematics and Computational Sciences
The Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda, Praveen Agarwal, Arvind Kumar Sinha   +2 more
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On the $(k,\psi )$-Generalized Laplace Transforms and Their Applications to Fractional Differential Equations

Communications in Advanced Mathematical Sciences
In this paper, a new generalization of the Laplace transform, called the $(k,\psi )$-generalized Laplace transform, which plays an important role in solving many problem models, is introduced and its special properties are given.
Emine Cengizhan, Yasemin Başcı, Adil Mısır   +2 more
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Laplace Transform Method for Pricing American CEV Strangles Option with Two Free Boundaries

Discrete Dynamics in Nature and Society, 2018
Laplace transform method (LTM) has a lot of applications in the evaluation of European-style options and exotic options without early exercise features.
Zhiqiang Zhou, Hongying Wu
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Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations

Complexity, 2022
In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
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Some Properties and Applications of a New General Triple Integral Transform “Gamar Transform’’

Complexity, 2023
The goal of this study is to suggest a new general triple integral transform known as Gamar transform. Next, we compare the current transform to a number of existing triple integral transforms such as those by Laplace, Sumudu, Elzaki, Aboodh, and Laplace–
Abdelilah Kamal H. Sedeeg
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Image Coding Using Laplace Transform

ITM Web of Conferences, 2018
In this paper a different cryptographic method is introduced by using Power series transform. A new algorithm for cryptography is produced. The extended Laplace transform of the exponential function is used to encode an explicit text.
Gençoǧlu Muharrem Tuncay, Vural Mehmet
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