Long time numerical behaviors of fractional pantograph equations
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Publication:1998023
DOI10.1016/j.matcom.2019.12.004zbMath1482.34189OpenAlexW2994812810MaRDI QIDQ1998023
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2019.12.004
stabilitylong time behaviorfractional delay differential equationsfractional differential equations with proportional delayfractional pantograph equations
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)
Related Items (23)
ALGORITHM FOR THE SOLUTION OF NONLINEAR VARIABLE-ORDER PANTOGRAPH FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS USING HAAR METHOD ⋮ Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions ⋮ Study of time fractional order problems with proportional delay and controllability term via fixed point approach ⋮ Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions ⋮ On high order numerical schemes for fractional differential equations by block-by-block approach ⋮ A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions ⋮ Energy-preserving scheme for the nonlinear fractional Klein-Gordon Schrödinger equation ⋮ A numerical method for fractional pantograph delay integro-differential equations on Haar wavelet ⋮ SOLUTION OF VARIABLE-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING HAAR WAVELET COLLOCATION TECHNIQUE ⋮ The asymptotic solutions of two-term linear fractional differential equations via Laplace transform ⋮ A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions ⋮ On coupled nonlinear evolution system of fractional order with a proportional delay ⋮ Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions ⋮ EXTENSION OF HAAR WAVELET TECHNIQUES FOR MITTAG-LEFFLER TYPE FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Dissipativity and contractivity of the second-order averaged \(\mathrm{L}1\) method for fractional Volterra functional differential equations ⋮ A transformed \(L1\) Legendre-Galerkin spectral method for time fractional Fokker-Planck equations ⋮ Applications of fixed point theory to investigate a system of fractional order differential equations ⋮ Solving fractional pantograph delay equations by an effective computational method ⋮ Fractional Crank-Nicolson-Galerkin finite element methods for nonlinear time fractional parabolic problems with time delay ⋮ A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations ⋮ A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem ⋮ A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations ⋮ Existence and numerical analysis using Haar wavelet for fourth-order multi-term fractional differential equations
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