Numerical study for a two-dimensional time-fractional semi linear parabolic equation using linearly implicit Euler finite difference method with Caputo derivative

Author:

Rasheed Maan A.,Saeed Maani A.

Publisher

AIP Publishing

Reference23 articles.

1. K. B. Oldham, J. Spanier, The Fractional Calculus. London: Academic Press c1974., (1974( https://lib.ugent.be/en/catalog/ebk01:2550000000015182

2. I. Podlubny, Fractional Differential Equations. United States: Academic Press, (1999), https://www.elsevier.com/books/fractional-differential-equations/podlubny/978-0-12-558840-9

3. T. Kisela, Fractional differential equations and their applications, M.Sc. thesis, Faculty of mechanical engineering, institute of Mathematics, Brno university of technology, 2008. https://core.ac.uk/download/pdf/30305949.pdf

4. Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative

5. A Fourier method for the fractional diffusion equation describing sub-diffusion

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