Browsing by Author "Zhang, Yu"

Now showing 1 - 3 of 3

Citation - WoS: 33
Citation - Scopus: 29
New solutions of the transport equations in porous media within localfractional derivative
(Editura Acad Romane, 2016) Zhang, Yu; Baleanu, Dumitru; Baleanu, Dumitru; Yang, Xiao-Jun; Matematik
In this manuscript we use the series expansion method within local fractional derivative to obtain the solutions of both homogeneous and non-homogeneous transport equations. The new reported solutions are able to describe more efficiently the behavior of solutions of the transport phenomena in porous media.
Citation - WoS: 20
Citation - Scopus: 22
On a local fractional wave equation under fixed entropy arising in fractal hydrodynamics
(Mdpi Ag, 2014) Zhang, Yu; Baleanu, Dumitru; Baleanu, Dumitru; Yang, Xiaojun; Matematik
In this paper, based on fixed entropy, the adiabatic equation of state in fractal flow is discussed. The local fractional wave equation for the velocity potential is also obtained by using the non-differential perturbations for the pressure and density of fractal hydrodynamics.
Citation - WoS: 58
Residual power series method for time-fractional Schrodinger equations
(int Scientific Research Publications, 2016) Zhang, Yu; Baleanu, Dumitru; Kumar, Amit; Kumar, Sunil; Baleanu, Dumitru; Yang, Xiao-Jun; 56389; Matematik
In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrodinger equations. The competency of the method is examined by applying it to the several numerical examples. Mainly, we find that our solutions obtained by the proposed method are completely compatible with the solutions available in the literature. The obtained results interpret that the proposed method is very effective and simple for handling different types of fractional differential equations (FDEs). (C) 2016 All rights reserved.