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 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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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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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator [PDF]
, 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 ...
CATTANI, Carlo +3 more
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, 2015 The local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense.
Khalique, Chaudry Masood +3 more
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Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators [PDF]
, 2015 In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators.
Jafari, Hossein, Jassim, Hassan K.
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Abstract and Applied Analysis, 2016 We used the local fractional variational iteration transform method (LFVITM) coupled by the local fractional Laplace transform and variational iteration method to solve three-dimensional diffusion and wave equations with local fractional derivative ...
Hassan Kamil Jassim
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