Geodesic
Fractional Order Operational Matrix Method for Solving Two-Dimensional Nonlinear Fractional Volterra Integro-Differential Equations
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 571 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This article presents a numerical method for solving nonlinear two-dimensional fractional Volterra integral equation. We derive the Hat basis functions operational matrix of the fractional order integration and use it to solve the two-dimensional fractional Volterra integro-differential equations. The method is described and illustrated with numerical examples. Also, we give the error analysis.
Classification : 26A33, 45G10, 65Gxx
Keywords: hat basis functions, operational matrix, error analysis, block pulse function, two-dimensional fractional integral equation 
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     author = {Amirahmad Khajehnasiri and M. Afshar Kermani and Rezza Ezzati},
     title = {Fractional {Order} {Operational} {Matrix} {Method} for {Solving} {Two-Dimensional} {Nonlinear} {Fractional} {Volterra} {Integro-Differential} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
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     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a4/}
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Amirahmad Khajehnasiri; M. Afshar Kermani; Rezza Ezzati. Fractional Order Operational Matrix Method for Solving Two-Dimensional Nonlinear Fractional Volterra Integro-Differential Equations. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 571 . http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a4/