Reduced differential transform method for partial differential equations within local fractional derivative operators
Hossein Jafari,Hossein Jafari,Hassan Kamil Jassim,Hassan Kamil Jassim,Seithuti P. Moshokoa,Vernon M. Ariyan,Vernon M. Ariyan,Fairouz Tchier +7 more
TLDR
In this paper, the non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in a local fractional operator sense, and four illustrative examples are given to show the efficiency and accuracy features of the presented technique.Abstract:
The non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in this article. The reduced differential transform method is considered in the local fractional operator sense. The four illustrative examples are given to show the efficiency and accuracy features of the presented technique to solve local fractional partial differential equations.read more
Citations
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An efficient computational technique for local fractional Fokker Planck equation
TL;DR: In this article, a comparison between the reduced differential transform method (RDTM) and local fractional series expansion method (LFSEM) employed to the LFFPE was performed.
Journal ArticleDOI
An Efficient Computational Technique for Fractal Vehicular Traffic Flow
TL;DR: The partial differential equations describing a fractal vehicular traffic flow are solved with the aid of the local fractional homotopy perturbation Sumudu transform scheme and the local fractionsal reduced differential transform method.
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A modification fractional variational iteration method for solving nonlinear gas dynamic and coupled KdV equations involving local fractional operators
TL;DR: In this paper, local fractional variational iteration transform (LFTT) is applied to homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions.
Journal ArticleDOI
Existence results in Banach space for a nonlinear impulsive system
TL;DR: In this article, a generalized impulsive fractional order differential equation (DE) involving a nonlinear p-Laplacian operator was considered and the existence of a solution, uniqueness and the Hyers-Ulam stability was established.
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Ji-Huan He,S. K. Elagan,Z.B. Li +2 more
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Reduced Differential Transform Method for Partial Differential Equations
Yildiray Keskin,Galip Oturanc +1 more
TL;DR: In this article, an alternative approach called the reduced differential transform method (RDTM) is presented to overcome the demerit of complex calculation of DTM, and three test problems of mathematical physics are discussed to illustrate the effectiveness and the performance of RDTM.
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Applications of differential transform method to differential-algebraic equations
TL;DR: Numerical solution of linear differential-algebraic equations (DAEs) is considered by differential transform method and solutions have been compared very well with those obtained by exact solutions.
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