Results 11 to 20 of about 10,416 (247)
Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators [PDF]
Abstract and Applied Analysis, 2014 We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional ...
Dumitru Băleanu +4 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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The variational iteration method for Whitham-Broer-Kaup system with local fractional derivatives
Thermal Science, 2022 The Whitham-Broer-Kaup equations are modified using local fractional derivatives, and the equations are then solved by the variational iteration method. Yang-Laplace transform method is adopted to make the solution process simpler.
Shuxian Deng, Xinxin Ge
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The extended variational iteration method for local fractional differential equation
Thermal Science, 2021 An extended variational iteration method within the local fractional derivative is introduced for the first time, where two Lagrange multipliers are adopted. Moreover, the sufficient conditions for convergence of the new variational iteration method are also established.
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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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Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices [PDF]
, 2016 We study ground states and elementary excitations of a system of bosonic atoms and diatomic Feshbach molecules trapped in a one-dimensional optical lattice using exact diagonalization and variational Monte Carlo methods. We primarily study the case of an
Chancellor, Nicholas +4 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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