The need for the fractional operators

DOI10.1186/s42787-021-00134-7zbMath1486.35409OpenAlexW4200568706MaRDI QIDQ2065503

Entsar A. Abdel-Rehim

Publication date: 7 January 2022

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-021-00134-7

zbMATH Keywords

Mittag-Leffler functioncontinuous time random walkCaputo-time-fractional operatorextending PDEs to space-time fractional PDEsRiesz-Feller space-fractional operatorspace-fractional Fokker-Planck operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Cites Work

• Fundamental solutions of the fractional diffusion and the fractional Fokker-Planck equations
• Simulation of the continuous time random walk of the space-fractional diffusion equations
• The Fokker-Planck equation. Methods of solution and applications.
• From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation
• From power laws to fractional diffusion processes with and without external forces, the non direct way
• Über das Ehrenfestsche Modell der Wärmeübertragung
• Fractional diffusion and wave equations
• ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS
• On the Theory of the Brownian Motion II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The need for the fractional operators