Stability, Structural Stability and Numerical Methods for Fractional Boundary Value Problems

DOI10.1007/978-3-0348-0516-2_9zbMath1262.65082OpenAlexW94866253MaRDI QIDQ4912915

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Publication date: 28 March 2013

Published in: Advances in Harmonic Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0516-2_9

zbMATH Keywords

algorithmsstabilitynumerical examplesboundary value problemsfractional differential equationsshouting method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fractional ordinary differential equations (34A08)

Related Items (4)

Increasing the efficiency of shooting methods for terminal value problems of fractional order ⋮ Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions ⋮ Structural stability of autonomous semilinear nonlocal evolution equations and the related semi-dynamical systems ⋮ Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems

Cites Work

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• Fast numerical solution of weakly singular Volterra integral equations
• An algorithm for the numerical solution of differential equations of fractional order
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Volterra integral equations and fractional calculus: do neighboring solutions intersect?
• Comparison of numerical methods for fractional differential equations
• Pitfalls in fast numerical solvers for fractional differential equations
• Fractional boundary value problems: Analysis and numerical methods
• Analysis of fractional differential equations

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