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