Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations

DOI10.1016/j.amc.2014.06.047zbMath1337.65101OpenAlexW2001927689MaRDI QIDQ279984

Marko Janev, Dusan Zorica, Stevan Pilipović, Teodor M. Atanacković

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.047

zbMATH Keywords

Gronwall inequalityexpansion formulanon-linear fractional differential equations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Fractional ordinary differential equations (34A08)

Related Items (2)

Numerical methods for time-fractional convection-diffusion problems with high-order accuracy ⋮ Non-linear boundary value problems involving Caputo derivatives of complex fractional order

Cites Work

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• Approximation of fractional integrals by means of derivatives
• Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
• Nonlinear fractional differential equations with integral boundary value conditions
• Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays
• About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory
• On Riemann-Liouville and Caputo derivatives
• On a numerical scheme for solving differential equations of fractional order
• Expansion formula for fractional derivatives in variational problems
• Nonlinear Hamiltonian equations with fractional damping
• Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative
• Differential equations of fractional order:methods results and problem —I
• Numerical approximations of fractional derivatives with applications
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• Fractional Calculus With Applications in Mechanics
• Fractional Calculus with Applications in Mechanics

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