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https://open.uns.ac.rs/handle/123456789/15247
Title: | Fractional differential equations through Laguerre expansions in abstract spaces: Error estimates | Authors: | Pilipović, Stevan Stojanović M. |
Issue Date: | 1-Dec-2006 | Journal: | Integral Transforms and Special Functions | Abstract: | An approximation procedure by the means of expansion with respect to Laguerre orthogonal basis of the space is given. It is applied to solutions of a class of convolution equations, by transforming them to corresponding systems of algebraic equations for the coefficients. Especially, Volterra-type integral and integro-differential equations and system of equations with fractional derivatives modeling viscoelastic rod are solved. Error estimates depending on the order of approximation are derived. © 2006 Taylor & Francis. | URI: | https://open.uns.ac.rs/handle/123456789/15247 | ISSN: | 10652469 | DOI: | 10.1080/10652460601042571 |
Appears in Collections: | PMF Publikacije/Publications |
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