Fractional diffusive waves in the Cauchy and signalling problems

DOI10.1007/978-3-030-69236-0_8zbMath1472.35430OpenAlexW3185396607MaRDI QIDQ2050303

Armando Consiglio, Francesco Mainardi

Publication date: 30 August 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-69236-0_8

zbMATH Keywords

Laplace transformfractional calculusWright functions

Mathematics Subject Classification ID

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

Related Items (3)

Efficient computation of the Wright function and its applications to fractional diffusion-wave equations ⋮ \(\alpha\)-robust \(H^1\)-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions ⋮ Wright functions of the second kind and Whittaker functions

Cites Work

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• Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Integrodifferential equation which interpolates the heat equation and the wave equation. II
• The fundamental solutions for the fractional diffusion-wave equation
• Asymptotics of zeros of the Wright function
• On the evolution of fractional diffusive waves
• Applications in Physics, Part B
• Fundamental solution of the tempered fractional diffusion equation
• Basic Theory
• The Asymptotic Expansion of the Generalized Bessel Function
• Mittag-Leffler Functions, Related Topics and Applications
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE

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