The fractional Dodson diffusion equation: a new approach

Garra, Roberto; Giusti, Andrea und Mainardi, Francesco (2018): The fractional Dodson diffusion equation: a new approach. In: Ricerche Di Matematica, Bd. 67, Nr. 2: S. 899-909

Abstract

In this paper, after a brief review of the general theory concerning regularized derivatives and integrals of a function with respect to another function, we provide a peculiar fractional generalization of the (1 + 1)-dimensional Dodson's diffusion equation. For the latter we then compute the fundamental solution, which turns out to be expressed in terms of an M-Wright function of two variables. Then, we conclude the paper providing a few interesting results for some nonlinear fractional Dodson-like equations.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0035-5038
• Sprache: Englisch