A new fractional derivative for solving time fractional diffusion wave equation
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Publication:6181980
DOI10.1002/mma.8509zbMath1529.35556OpenAlexW4283381041MaRDI QIDQ6181980
Lu-Lu Geng, Jian-Gen Liu, Xiao-Jun Yang, Yi-Ying Feng
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8509
Laplace transformFourier transform methodtime fractional diffusion wave equationk-H-P fractional operator
Fundamental solutions to PDEs (35A08) Methods of ordinary differential equations applied to PDEs (35A24) Fractional partial differential equations (35R11)
Cites Work
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- A new integral transform operator for solving the heat-diffusion problem
- Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- A new analytical modelling for fractional telegraph equation via Laplace transform
- Fractional-order Legendre functions for solving fractional-order differential equations
- A novel finite difference discrete scheme for the time fractional diffusion-wave equation
- On fractional calculus with general analytic kernels
- Relations between fractional models with three-parameter Mittag-Leffler kernels
- A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
- Similarities in a fifth-order evolution equation with and with no singular kernel
- On integrability of the higher dimensional time fractional KdV-type equation
- On integrability of the time fractional nonlinear heat conduction equation
- A fully discrete difference scheme for a diffusion-wave system
- New analytical method for gas dynamics equation arising in shock fronts
- Two finite difference schemes for time fractional diffusion-wave equation
- k-Hilfer-Prabhakar Fractional Derivatives and Applications
- General Fractional Derivatives
- SUBORDINATION CONDITIONS FOR A CLASS OF NON-BAZILEVIČ TYPE DEFINED BY USING FRACTIONAL Q-CALCULUS OPERATORS
- A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
- An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
- General Fractional Derivatives with Applications in Viscoelasticity
- Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
- Approximate solution of two-term fractional-order diffusion, wave-diffusion, and telegraph models arising in mathematical physics using optimal homotopy asymptotic method
- ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS
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