Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type

DOI10.1016/J.APNUM.2021.07.015zbMath1482.65102OpenAlexW3186546279WikidataQ114208232 ScholiaQ114208232MaRDI QIDQ822155

Elmira Ashpazzadeh, Mahsa Moharrami, Mir Sajjad Hashemi, Mehrdad Lakestani

Publication date: 21 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.015

zbMATH Keywords

Caputo derivativefractional pantograph differential equationsfractional-order Alpert multiwaveletsRiemann-Liouville fractional integration

Mathematics Subject Classification ID

Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)

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Cites Work

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• Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
• A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations
• A composite collocation method for the nonlinear mixed Volterra-Fredholm-Hammerstein integral equations
• Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets
• An effective numerical method for solving fractional pantograph differential equations using modification of hat functions
• Modified Chebyshev wavelet methods for fractional delay-type equations
• Invariant subspaces admitted by fractional differential equations with conformable derivatives
• Classical and nonclassical Lie symmetry analysis to a class of nonlinear time-fractional differential equations
• Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
• Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: two analytical approaches
• Adaptive solution of partial differential equations in multiwavelet bases
• Solving fractional pantograph delay equations by an effective computational method
• Spectral-collocation methods for fractional pantograph delay-integrodifferential equations
• Existence of solutions of nonlinear fractional pantograph equations
• Approximate solution of multi-pantograph equation with variable coefficients
• Analysis of multi-delay and piecewise constant delay systems by hybrid functions approximation
• Existence and numerical simulation of solutions for nonlinear fractional pantograph equations
• Lie Symmetry Analysis of Fractional Differential Equations
• Generalized fractional order Chebyshev wavelets for solving nonlinear fractional delay-type equations
• Application of the hybrid functions to solve neutral delay functional differential equations

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