The convergence and stability analysis of the Jacobi collocation method for solving nonlinear fractional differential equations with integral boundary conditions (Q2814065)

scientific article; zbMATH DE number 6594870

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English	The convergence and stability analysis of the Jacobi collocation method for solving nonlinear fractional differential equations with integral boundary conditions	scientific article; zbMATH DE number 6594870

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instance of

scholarly article

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title

The convergence and stability analysis of the Jacobi collocation method for solving nonlinear fractional differential equations with integral boundary conditions (English)

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Mathematical Methods in the Applied Sciences

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publication date

17 June 2016

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zbMATH Keywords

nonlinear fractional differential equation

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collocation method

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Caputo derivative

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Jacobi polynomials

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stability

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convergence

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integral boundary conditions

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integral equation

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numerical examples

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1002/mma.3619

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review text

The authors solve nonlinear fractional differential equations subject to integral boundary conditions using the Jacobi collocation method. In doing so, the fractional equation is formulated as integral equation.NEWLINENEWLINEAlso, a convergence and stability analysis is performed yielding the optimal degree of convergence in the \(L^2\)-norm. Numerical examples are discussed and an application in control theory concludes the paper.

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reviewed by

Christian Pötzsche

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