Cubic polynomial spline scheme for fractional boundary value problems with left and right fractional operators

DOI10.1007/s40819-016-0145-zzbMath1397.65113OpenAlexW2273782300MaRDI QIDQ1788263

Ghazala Akram, Hira Tariq

Publication date: 8 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0145-z

zbMATH Keywords

error boundboundary value problemcubic spline functionCaputo's fractional operators

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

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Cites Work

• A numerical method for solving boundary value problems for fractional differential equations
• Existence and multiplicity of positive solutions for singular fractional boundary value problems
• Solutions to boundary value problem of fractional order on unbounded domains in a Banach space
• Existence of multiple positive solutions for \(m\)-point fractional boundary value problems on an infinite interval
• Solutions of tenth-order boundary value problems using eleventh degree spline
• Basic theory of fractional differential equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Detailed error analysis for a fractional Adams method
• An exponential spline technique for solving fractional boundary value problem
• Existence of solution for a boundary value problem of fractional order
• Differintegral interpolation from a bandlimited signal's samples
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Solution of eighth-order boundary value problems using the non-polynomial spline technique
• Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications
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