Fundamental solution of the time-space bi-fractional diffusion equation with a kinetic source term for anomalous transport

Abstract The purpose of this paper is to study the fundamental solution of the time-space bi-fractional diffusion equation incorporating an additional kinetic source term in semi-infinite space. The equation is a generalization of the integer-order model $${\partial _{{t}} {\rho (x,t)}} = {\partial...

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Bibliographic Details
Main Authors: Anis Allagui, Georgii Paradezhenko, Anastasiia Pervishko, Dmitry Yudin, Hachemi Benaoum
Format: Article
Language:English
Published: Nature Portfolio 2024-06-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-63579-7
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