Time-fractional telegraph equation of distributed order in higher dimensions

DOI10.1016/j.cnsns.2021.105925zbMath1471.35313OpenAlexW3165996644MaRDI QIDQ2045972

Yanyan Li

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105925

zbMATH Keywords

Fourier transformLaplace transformMellin transformTauberian theoremfractional momentsFox H-functions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Related Items (10)

Time-fractional diffusion equation with \(\psi\)-Hilfer derivative ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ Time-fractional telegraph equation with \(\psi\)-Hilfer derivatives ⋮ An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability ⋮ On spectral polar fractional Laplacian ⋮ Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions ⋮ Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model ⋮ Time-fractional telegraph equation of distributed order in higher dimensions with hilfer fractional derivatives

Cites Work

• Analysis of fractional diffusion equations of distributed order: maximum principles and their applications
• Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators
• Generalized distributed order diffusion equations with composite time fractional derivative
• Numerical approach for a class of distributed order time fractional partial differential equations
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
• Fundamental solution of the multi-dimensional time fractional telegraph equation
• Distributed order calculus and equations of ultraslow diffusion
• The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
• Time-fractional Diffusion of Distributed Order
• The Two Forms of Fractional Relaxation of Distributed Order
• Time distributed-order diffusion-wave equation. I. Volterra-type equation
• Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
• DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION
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