A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line
نویسندگان
چکیده
منابع مشابه
On a Generalized Laguerre Operational Matrix of Fractional Integration
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متن کاملNew Operational Matrices for Solving Fractional Differential Equations on the Half-Line
In this paper, the fractional-order generalized Laguerre operational matrices (FGLOM) of fractional derivatives and fractional integration are derived. These operational matrices are used together with spectral tau method for solving linear fractional differential equations (FDEs) of order ν (0 < ν < 1) on the half line. An upper bound of the absolute errors is obtained for the approximate and ...
متن کاملCorrection: New Operational Matrices for Solving Fractional Differential Equations on the Half-Line
References 1. Bhrawy AH, Taha TM, Alzahrani EO, Baleanu D, Alzahrani AA (2015) New Operational Matrices for Solving Fractional Differential Equations on the Half-Line. PLoS ONE 10(5): e0126620. doi: 10.1371/ journal.pone.0126620 PMID: 25996369 2. Bhrawy AH, Taha TM, Alzahrani EO, Baleanu D, Alzahrani AA (2015) Correction: New Operational Matrices for Solving Fractional Differential Equations on...
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In this article, we have discussed a new application of modification of hat functions on nonlinear multi-order fractional differential equations. The operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. The method provides the solution in the form of a rapidly convergent series. Furthermore, error analysis of the pro...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2012
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2012-179