Symmetries, conservation laws and exact solutions of the time-fractional diffusivity equation via Riemann–Liouville and Caputo derivatives

DOI10.1080/17455030.2019.1620973zbMath1496.76106OpenAlexW2948375789WikidataQ127792401 ScholiaQ127792401MaRDI QIDQ5091997

Saeede Rashidi, S. Reza Hejazi

Publication date: 28 July 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2019.1620973

zbMATH Keywords

exact solutionfractional derivativesimilarity reductionLie point symmetryformal Lagrangiannon-linear self-adjointness

Mathematics Subject Classification ID

Diffusion (76R50) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Fractional derivatives and integrals (26A33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process ⋮ Group formalism of Lie transformations, conservation laws, exact and numerical solutions of non-linear time-fractional Black-Scholes equation

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