Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables [PDF]
Abstract and Applied Analysis, 2014 The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained
Li Chen +4 more
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Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative [PDF]
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 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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A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators [PDF]
Abstract and Applied Analysis, 2013 The local fractional variational iteration method for local fractional Laplace equation is investigated in this paper. The operators are described in the sense of local fractional operators. The obtained results reveal that the method is very effective.
Yong-Ju Yang +2 more
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Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow [PDF]
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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The Nondifferentiable Solution for Local Fractional Tricomi Equation Arising in Fractal Transonic Flow by Local Fractional Variational Iteration Method [PDF]
Advances in Mathematical Physics, 2014 We present the nondifferentiable approximate solution for local fractional Tricomi equation arising in fractal transonic flow by local fractional variational iteration method. Some illustrative examples are shown and graphs are also given.
Ai-Min Yang +2 more
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Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators [PDF]
Abstract and Applied Analysis, 2013 We investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators.
Ai-Min Yang +3 more
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On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method [PDF]
Mathematical Problems in Engineering, 2016 We present iteration formulae of a fractional space-time telegraph equation using the combination of fractional variational iteration method and local fractional Laplace transform.
Goswami, Pranay, Alqahtani, Rubayyi T.
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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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Local Fractional Variational Iteration Method for Inhomogeneous Helmholtz Equation within Local Fractional Derivative Operator [PDF]
Mathematical Problems in Engineering, 2014 The inhomogeneous Helmholtz equation within the local fractional derivative operator conditions is investigated in this paper. The local fractional variational iteration method is applied to obtain the nondifferentiable solutions and the graphs of the illustrative examples are also shown.
Wang X. J. +3 more
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