Uniform approximation of fractional derivatives and integrals with application to fractional differential equations

zbMath1304.65169arXiv1308.0451MaRDI QIDQ2925575

Delfim F. M. Torres, Hassan Khosravian-Arab

Publication date: 17 October 2014

Full work available at URL: https://arxiv.org/abs/1308.0451

zbMATH Keywords

stabilityrate of convergencenumerical examplesBernstein polynomialsuniform approximationCaputo and Riemann-Liouville fractional derivativesfrational differential equtaions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

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A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives ⋮ Properties of fractional calculus with respect to a function and Bernstein type polynomials ⋮ Unnamed Item ⋮ Global stability of a Caputo fractional SIRS model with general incidence rate ⋮ The fractional orthogonal difference with applications

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