On the Cauchy problem for some fractional order partial differential equations

DOI10.1016/S0960-0779(02)00586-6zbMath1059.35034OpenAlexW2009633117MaRDI QIDQ1433716

Osama L. Moustafa

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00586-6

zbMATH Keywords

Cauchy problemexistence and uniquenesscontinuity property

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for PDEs with pseudodifferential operators (35S10)

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Cites Work

• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The fundamental solutions for the fractional diffusion-wave equation
• Fredholm-Volterra integral equation of the first kind and contact problem
• Applications of Fractional Calculus to the Theory of Viscoelasticity
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