An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
Mathematics, 2019 In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan +4 more
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Alexandria Engineering Journal, 2018 In this paper, we considered nonlinear systems of fractional order differential equations. They have been solved by a computational methods which are so-called Laplace Adomian decomposition method (LADM) and modified Laplace decomposition method (MLDM ...
Osama H. Mohammed, Huda A. Salim
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Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation
Journal of Applied Mathematics, 2021 The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can
Metomou Richard, Weidong Zhao
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Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator
Journal of Function Spaces, 2021 This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator.
Fatemah Mofarreh +5 more
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Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations
Alexandria Engineering Journal, 2018 In the concerned article, we present the numerical solution of nonlinear coupled system of Whitham-Broer-Kaup equations (WBK) of fractional order. With the help of Laplace transform coupled with Adomian decomposition method, an iterative procedure is ...
Amjad Ali, Kamal Shah, Rahmat Ali Khan
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Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order [PDF]
Notes on IFSThe aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method.
Razika Ettoussi +2 more
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On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method
Cumhuriyet Science Journal, 2023 In this study, random partial differential equations obtained by randomly choosing the coefficients or initial conditions of partial differential equations will be analyzed. With the help of Laplace Adomian Decomposition Method and Homotopy Analysis Method, approximate analytical solutions of random partial differential equations were obtained. Initial
Mehmet Merdan, Nihal Atasoy
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New iterative technique for computing Fourier transforms. [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
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Modified homotopy perturbation method coupled with Laplace transform for fractional heat transfer and porous media equations [PDF]
, 2013 The purpose of this paper is to extend the homotopy perturbation method to fractional heat transfer and porous media equations with the help of the Laplace transform.
Yan Li-Mei
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Numerical analysis of Lane Emden–Fowler equations
Journal of Taibah University for Science, 2018 This paper is devoted to the numerical solutions of Lane Emden–Fowler partial differential equations. For the numerical analysis, we apply Laplace transform coupled with the Adomian decomposition method known as the Laplace Adomian decomposition method ...
Atta Ullah, Kamal Shah
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