Generalized fractional order Chebyshev wavelets for solving nonlinear fractional delay-type equations

DOI10.1142/S0219691319500140zbMath1417.65178OpenAlexW2908920887MaRDI QIDQ5379795

Umer Saeed, Amir Saeed

Publication date: 14 June 2019

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691319500140

zbMATH Keywords

quasilinearization techniquemethod of stepsfractional delay equationsgeneralized fractional-order Chebyshev wavelets

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Best approximation, Chebyshev systems (41A50) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional partial differential equations (35R11)

Related Items (4)

Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type ⋮ Krawtchouk wavelets method for solving Caputo and Caputo–Hadamard fractional differential equations ⋮ Fractional Gegenbauer wavelets operational matrix method for solving nonlinear fractional differential equations ⋮ A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra–Fredholm integral equations

Cites Work

• Unnamed Item
• Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
• Solution of a laminar boundary layer flow via a numerical method
• Generalized Taylor's formula
• Kronecker operational matrices for fractional calculus and some applications
• Solution of delay differential equations via a homotopy perturbation method
• An effective numerical method for solving fractional pantograph differential equations using modification of hat functions
• Haar wavelet Picard method for fractional nonlinear partial differential equations
• Modified Chebyshev wavelet methods for fractional delay-type equations
• Polynomial least squares method for the solution of nonlinear Volterra-Fredholm integral equations
• CAS Picard method for fractional nonlinear differential equation
• Issues in the numerical solution of evolutionary delay differential equations
• Solving the nonlinear Schlomilch's integral equation arising in ionospheric problems
• A numerical method for delayed fractional-order differential equations
• Analysis and numerical methods for fractional differential equations with delay
• GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on $$\varvec{\mathscr {D'}}(\mathbb {C})$$ D ′ ( C )
• An improved numerical method for a class of astrophysics problems based on radial basis functions
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

This page was built for publication: Generalized fractional order Chebyshev wavelets for solving nonlinear fractional delay-type equations