Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models

DOI10.1515/ijnsns-2019-0307OpenAlexW3088970422MaRDI QIDQ2235307

Mohamed M. Khader

Publication date: 21 October 2021

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2019-0307

zbMATH Keywords

convergence orderAdams-Bashforth-Moulton methodvariable-order fractional Riccati and logistic differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Approximation by other special function classes (41A30)

Related Items (2)

Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations ⋮ Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations

Cites Work

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• Synthesis of multifractional Gaussian noises based on variable-order fractional operators
• Variable-order fractional derivatives and their numerical approximations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Numerical treatment of the fractional modeling on susceptible-infected-recovered equations with a constant vaccination rate by using GEM
• Numerical solutions of a variable-order fractional financial system
• Detailed error analysis for a fractional Adams method
• Variable order and distributed order fractional operators
• Fractional integration and differentiation of variable order
• On the fractional-order logistic equation

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