Sheng-Ping Yan

Bio: Sheng-Ping Yan is an academic researcher from China University of Mining and Technology. The author has contributed to research in topics: Fractal & Adomian decomposition method. The author has an hindex of 1, co-authored 1 publications receiving 55 citations.

Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators

Abstract: We perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. 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 derivative.

Fractal derivative model with time dependent diffusion coefficient for chloride diffusion in concrete

Abstract: More research and experiments have indicated that, under different water cement ratios, the binding effect of concrete on chloride ions and the blocking effect of hydration on chloride ions are clearly dominant. During this time period, the diffusion rate of chloride ions will increase or decrease with time, resulting in the classical Fickian diffusion law no longer being applicable. This study establishes an improved fractal model with a time-dependent diffusion coefficient for chloride diffusion in concrete. An explicit solution is derived in terms of the complementary error function. The proposed model is verified by fitting the chloride ion concentration data from different concrete immersion tests. The results show that the fractal model can fit the data in different spatial scales, and the corresponding prediction accuracy is rather high when compared to the three integer order models with constant, variable diffusion coefficient, and curing age. Therefore, the fractal derivative model is feasible in describing the anomalous diffusion of chloride ions in concrete.

A hybrid computational approach for Klein–Gordon equations on Cantor sets

Abstract: In this letter, we present a hybrid computational approach established on local fractional Sumudu transform method and homotopy perturbation technique to procure the solution of the Klein–Gordon equations on Cantor sets. Four examples are provided to show the accuracy and coherence of the proposed technique. The outcomes disclose that the present computational approach is very user friendly and efficient to compute the nondifferentiable solution of Klein–Gordon equation involving local fractional operator.

An efficient computational technique for local fractional Fokker Planck equation

Abstract: The key aim of the present study is to compute the solution of local fractional Fokker Planck equation (LFFPE) on the Cantor set. We perform a comparison between the reduced differential transform method (RDTM) and local fractional series expansion method (LFSEM) employed to the LFFPE. The operators are considered in the local nature. The outcomes demonstrate the important characteristic of the two techniques which are very successful and simple to solve the differential equations having fractional derivative operator of local nature.

Reduced differential transform method for partial differential equations within local fractional derivative operators

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.