Browsing by Author "Gao, Feng"

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Citation Count: Yang, Xiao-Jun...et al. (2017). "A new fractional derivative involving the normalized sinc function without singular kernel", Europan Physical Journal Special-Topic, Vol.226, No.16-18, pp.3567-3575.
A new fractional derivative involving the normalized sinc function without singular kernel
(Springer Heidelberg, 2017) Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru; 56389
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.
Citation Count: Yang, Xiao-Jun...et al. (2016). "A new numerical technique for local fractional diffusion equation in fractal heat transfer", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 10, pp. 5621-5628.
A new numerical technique for local fractional diffusion equation in fractal heat transfer
(Int Scientific Research Publications, 2016) Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Gao, Feng; 56389
In this paper, a new numerical approach, embedding the differential transform (DT) and Laplace transform (LT), is firstly proposed. It is considered in the local fractional derivative operator for obtaining the non-differential solution for diffusion equation in fractal heat transfer. (C) 2016 All rights reserved.
Citation Count: Yang, Xiao-Jun; Baleanu, Dumitru; Gao, Feng, "New analytical solutions for klein-gordon and helmholtz equations in fractal dimensional space", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences İnformation Science, Vol.18, No.3, pp.231-238, (2017).
New analytical solutions for klein-gordon and helmholtz equations in fractal dimensional space
(Editura Academiei Romane, 2017) Yang, Xiao-Jun; Baleanu, Dumitru; Gao, Feng; 56389
We consider the local fractional Klein Gordon equation and Helmholtz equation in (1+1) fractal dimensional space. The local fractional Laplace series expansion method is used to solve the local fractional partial differential equations in fractal dimensional space. We present the non differentiable analytical solutions and the corresponding graphs. The obtained results illustrate the accuracy and efficiency of this approach to local fractional partial differential equations.