Browsing Matematik Bölümü by Author "Zhang, Yu"

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New solutions of the transport equations in porous media within localfractional derivative

Zhang, Yu; Baleanu, Dumitru; Yang, Xiao-Jun (Editura Acad Romane, 2016-07)

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 ...
On a local fractional wave equation under fixed entropy arising in fractal hydrodynamics

Zhang, Yu; Baleanu, Dumitru; Yang, Xiaojun (MDPI AG, 2014-12)

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 ...
Residual power series method for time-fractional Schrodinger equations

Zhang, Yu; Kumar, Amit; Kumar, Sunil; Baleanu, Dumitru (Int Scientific Research Publications, 2016)

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 ...

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