A new approximation of conformable time fractional partial differential equations with proportional delay
DOI10.1016/j.apnum.2020.07.001zbMath1446.65139OpenAlexW3041040478WikidataQ115360373 ScholiaQ115360373MaRDI QIDQ2192635
Brajesh Kumar Singh, Saloni Agrawal
Publication date: 17 August 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.001
conformable fractional derivativeconformable time fractional PDEs with proportional delayconformable time-fractional generalized Burgers equations with proportional delayreduced fractional differential transform method
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Partial functional-differential equations (35R10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11) PDEs on time scales (35R07)
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Cites Work
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- A novel expansion iterative method for solving linear partial differential equations of fractional order
- A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method
- Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
- On conformable fractional calculus
- A note on Burgers' equation with time delay: instability via finite-time blow-up
- Solution of delay differential equations via a homotopy perturbation method
- The variational iteration method for solving a neutral functional-differential equation with proportional delays
- Asymptotic behavior of solutions of time-delayed Burgers' equation
- Chebyshev pseudospectral method and waveform relaxation for differential and differential-functional parabolic equations
- Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform
- Fractional variational iteration method for solving fractional partial differential equations with proportional delay
- On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion
- Homotopy perturbation method for solving time fractional coupled viscous Burgers' equation in \((2+1)\) and \((3+1)\) dimensions
- Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
- Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
- Theory and applications of partial functional differential equations
- Fractional conformable derivatives of Liouville-Caputo type with low-fractionality
- A new definition of fractional derivative
- Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
- Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations
- Homotopy perturbation new integral transform method for numeric study of space- and time-fractional \((n+1)\)-dimensional heat- and wave-like equations
- Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations
- An iterated pseudospectral method for delay partial differential equations
- Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay
- Solutions of delay differential equations by using differential transform method
- Exact solutions of Fisher and Burgers equations with finite transport memory