Results 1 to 10 of about 16,618,419 (229)
Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative [PDF]
Discrete Dynamics in Nature and Society, 2014 The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration ...
Ai-Min Yang +4 more
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Abstract and Applied Analysis, 2014 We propose the variational iteration transform method in the sense of local fractional derivative, which is derived from the coupling method of local fractional variational iteration method and differential transform method.
Yong-Ju Yang, Liu-Qing Hua
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Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow
Advances in Mathematical Physics, 2014 We discuss the line partial differential equations arising in fractal vehicular traffic flow. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of ...
Yang Li +3 more
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Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
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A new analysis for Klein-Gordon model with local fractional derivative
Alexandria Engineering Journal, 2020 This work adopts Yang’s local fractional derivative to define the fractional Klein-Gordon equation in a fractal space or microgravity space. The variational principle of local fractional Klein-Gordon equation is successfully established via fractional ...
KangLe Wang, KangJia Wang
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Approximate methods for solving local fractional integral equations [PDF]
Journal of Hyperstructures, 2017 This paper presents new analytical approximate methods such as local fractional variational iteration method and local fractional decomposition method for a family of the linear and nonlinear integral equations of the second kind within local fractional ...
Hassan Kamil Jassim
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Solving Helmholtz Equation with Local Fractional Derivative Operators
Fractal and Fractional, 2019 The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM ...
Dumitru Baleanu +2 more
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مجلة علوم ذي قار, 2019 In this manuscript, we apply a new technique, namely local fractional Laplace variational iteration method (LFVITM) on Helmholtz and coupled Helmholtz equations to obtain the analytical approximate solutions.
Hassan Kamil Jassim +2 more
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A Novel Approach for Korteweg-de Vries Equation of Fractional Order [PDF]
Journal of Applied and Computational Mechanics, 2019 In this study, the localfractional variational iterationmethod (LFVIM) and the localfractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractionalderivative operators (
Hassan Kamil Jassim, Dumitru Baleanu
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Fractal Analytical Solutions for Nonlinear Two-Phase Flow in Discontinuous Shale Gas Reservoir
Mathematics, 2022 The paths of a two-phase flow are usually non-linear and discontinuous in the production of shale gas development. To research the influence mechanism between shale gas and water, several integer two-phase flow models have been studied but few analytical
Xiaoji Shang +5 more
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