A new class of operational matrices method for solving fractional neutral pantograph differential equations

DOI10.1186/S13662-018-1536-8zbMath1445.34023OpenAlexW2799580023WikidataQ130121104 ScholiaQ130121104MaRDI QIDQ1711737

Peng Zhang

Publication date: 18 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1536-8

zbMATH Keywords

operational matrixRiemann-Liouville fractional integrationCaputo fractional differentialneutral pantograph differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (6)

A new attractive analytic approach for solutions of linear and nonlinear neutral fractional pantograph equations ⋮ A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials ⋮ Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations ⋮ Spectral Galerkin schemes for a class of multi-order fractional pantograph equations ⋮ Lie symmetry analysis and exact solutions of fractional ordinary differential equations with neutral delay ⋮ A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations

Cites Work

• Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
• Numerical solution of fractional differential equations using the generalized block pulse operational matrix
• Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions
• Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation
• Fractional calculus models of complex dynamics in biological tissues
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order
• Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations
• Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
• Spectral-collocation methods for fractional pantograph delay-integrodifferential equations
• Existence of solutions of nonlinear fractional pantograph equations

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