An effective numerical method for solving fractional pantograph differential equations using modification of hat functions

DOI10.1016/j.apnum.2018.05.005zbMath1446.65042OpenAlexW2800087239WikidataQ129857192 ScholiaQ129857192MaRDI QIDQ1635499

S. Sedaghat, S. Nemati, Paulo Lima

Publication date: 6 June 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.05.005

zbMATH Keywords

Caputo derivativeoperational matrixmodification of hat functionsfractional pantograph differential equationsRiemann-Liouville integral

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items (19)

Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials ⋮ Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type ⋮ A new attractive analytic approach for solutions of linear and nonlinear neutral fractional pantograph equations ⋮ A low-cost computational method for solving nonlinear fractional delay differential equations ⋮ Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations ⋮ Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation ⋮ Chebyshev spectral methods for multi-order fractional neutral pantograph equations ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ A numerical method to solve fractional pantograph differential equations with residual error analysis ⋮ A numerical approach for solving fractional optimal control problems using modified hat functions ⋮ Generalized fractional order Chebyshev wavelets for solving nonlinear fractional delay-type equations ⋮ Spectral Galerkin schemes for a class of multi-order fractional pantograph equations ⋮ Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations ⋮ A numerical approach for approximating variable-order fractional integral operator ⋮ Solving fractional pantograph delay equations by an effective computational method ⋮ Legendre wavelet method for fractional delay differential equations ⋮ Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations ⋮ A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations ⋮ A new spectral method based on two classes of hat functions for solving systems of fractional differential equations and an application to respiratory syncytial virus infection

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