نتایج جستجو برای: space time fractional pde

تعداد نتایج: 2300803  

The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux consti...

2007
Shaher Momani

This paper presents a general solution for a space-and time-fractional diffusionwave equation defined in a bounded space domain. The space-and time-fractional derivatives are described in the Caputo sense. The application of Adomian decomposition method, developed for differential equations of integer order, is extended to derive a general solution of the space-and time-fractional diffusionwave...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2002
Mark M Meerschaert David A Benson Hans-Peter Scheffler Boris Baeumer

Classical and anomalous diffusion equations employ integer derivatives, fractional derivatives, and other pseudodifferential operators in space. In this paper we show that replacing the integer time derivative by a fractional derivative subordinates the original stochastic solution to an inverse stable subordinator process whose probability distributions are Mittag-Leffler type. This leads to e...

Journal: :Discrete Dynamics in Nature and Society 2017

Journal: :IOP Conference Series: Materials Science and Engineering 2021

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