First-order reaction-diffusion system with space-fractional diffusion in an unbounded medium

DOI10.1007/978-3-030-97549-4_7zbMath1506.35172OpenAlexW4225911970MaRDI QIDQ2128432

Dimiter Prodanov

Publication date: 22 April 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-97549-4_7

zbMATH Keywords

Hankel transformporous mediaBessel functionsbiological tissuesRiesz Laplacian

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Integral transforms of special functions (44A20) Cell biology (92C37) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fractional partial differential equations (35R11)

Cites Work

• Ten equivalent definitions of the fractional Laplace operator
• A model of space-fractional-order diffusion in the glial scar
• Double exponential formulas for numerical integration
• On the Convergence and Stability of the Epsilon Algorithm
• Random walk models approximating symmetric space-fractional diffusion processes
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