Similarity solution to fractional nonlinear space-time diffusion-wave equation

DOI10.1063/1.4915293OpenAlexW2002863846MaRDI QIDQ5245244

Felix S. Costa, J. A. P. F. Marão, J. C. Alves Soares, Edmundo Capelas de Oliveira

Publication date: 7 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4915293

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Diffusion processes (60J60) Fractional partial differential equations (35R11)

Related Items (16)

Diffusivity identification in a nonlinear time-fractional diffusion equation ⋮ The fractional space-time radial diffusion equation in terms of the Fox's \(H\)-function ⋮ Fractional diffusion with time-dependent diffusion coefficient ⋮ Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator ⋮ Validation of a fractional model for erythrocyte sedimentation rate ⋮ Numerical solutions for 2-d fractional Schrödinger equation with the Riesz-Feller derivative ⋮ Lie symmetry and exact solution of the time-fractional Hirota-Satsuma Korteweg-de Vries system ⋮ Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative ⋮ Fractional space-time nonlinear reaction-convection-diffusion ⋮ Similarity solutions to nonlinear diffusion/Harry Dym fractional equations ⋮ On the fractional Harry Dym equation ⋮ Exact solution of the time fractional variant Boussinesq-Burgers equations. ⋮ Modeling heat transport in nanofluids with stagnation point flow using fractional calculus ⋮ Similarity solution to fractional nonlinear space-time diffusion-wave equation ⋮ Optimal algebra and power series solution of fractional Black-Scholes pricing model ⋮ Explicit Solutions of Coupled Time Fractional Kaup-Boussinesq Equation with Weak Dispersion

Uses Software

• BVPh

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