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},
     pages = {571 },
     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/