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SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
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 Title & Authors
SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Yang, Yin; Chen, Yanping; Huang, Yunqing;
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 Abstract
We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Fredholm-Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method, which shows that the errors of the approximate solution decay exponentially in norm and weighted -norm. The numerical examples are given to illustrate the theoretical results.
 Keywords
spectral Jacobi-collocation method;fractional order Fredholm integro-differential equations;Caputo derivative;
 Language
English
 Cited by
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Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives, Advances in Applied Mathematics and Mechanics, 2017, 9, 01, 173  crossref(new windwow)
3.
Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial, Mathematical Problems in Engineering, 2014, 2014, 1  crossref(new windwow)
4.
Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis, Computers & Mathematics with Applications, 2016  crossref(new windwow)
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