Browsing by Author "Gao, Feng"

Now showing 1 - 4 of 4

Citation - WoS: 95
A new fractional derivative involving the normalized sinc function without singular kernel
(Springer Heidelberg, 2017) Yang, Xiao-Jun; Baleanu, Dumitru; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 31
A new numerical technique for local fractional diffusion equation in fractal heat transfer
(int Scientific Research Publications, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A.; Baleanu, Dumitru; Gao, Feng; 56389; Matematik
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 - WoS: 29
Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics
(Springer international Publishing Ag, 2019) Baleanu, Dumitru; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru; Matematik
Citation - WoS: 34
Citation - Scopus: 36
New analytical solutions for klein-gordon and helmholtz equations in fractal dimensional space
(Editura Acad Romane, 2017) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Gao, Feng; 56389; Matematik
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.