Porous medium flow with both a fractional potential pressure and fractional time derivative
نویسندگان
چکیده
منابع مشابه
Porous Medium Flow with Both a Fractional Potential Pressure and Fractional Time Derivative
We study a porous medium equation with right hand side. The operator has nonlocal diffusion effects given by an inverse fractional Laplacian operator. The derivative in time is also fractional of Caputo-type and which takes into account “memory”. The precise model is D t u− div(u(−∆)−σu) = f, 0 < σ < 1/2. We pose the problem over {t ∈ R+, x ∈ Rn} with nonnegative initial data u(0, x) ≥ 0 as wel...
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In this article, the electro-osmotic flow of Oldroyd-B fluid in a circular micro-channel with slip boundary condition is considered. The corresponding fractional system is represented by using a newly defined time-fractional Caputo-Fabrizio derivative without singular kernel. Closed form solutions for the velocity field are acquired by means of Laplace and finite Hankel transforms. Additionally...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2017
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-016-1063-4