New function of Mittag-Leffler type and its application in the fractional diffusion-wave equation

DOI10.1016/J.CHAOS.2005.08.151zbMath1142.35479OpenAlexW2027950573MaRDI QIDQ943293

Hong-Qing Zhang, Rui Yu

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.151

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Solutions to PDEs in closed form (35C05)

Related Items (9)

Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation ⋮ Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations ⋮ On the generalized Mittag-Leffler function and its application in a fractional telegraph equation ⋮ Mathematical modeling of time fractional reaction-diffusion systems ⋮ Approximate solutions of nonlinear fractional equations ⋮ On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator ⋮ Solution of the fractional Langevin equation and the Mittag–Leffler functions ⋮ The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation ⋮ Unnamed Item

Cites Work

• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• The fundamental solutions for the fractional diffusion-wave equation
• EXACT SOLUTIONS FOR A CLASS OF FRACTAL TIME RANDOM WALKS
• Fractional kinetic equations: solutions and applications
• Fractional Calculus: Integral and Differential Equations of Fractional Order
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