Geodesic
On Euler methods for Caputo fractional differential equations
Archivum mathematicum, Tome 59 (2023) no. 3, pp. 287-294.

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Numerical methods for fractional differential equations have specific properties with respect to the ones for ordinary differential equations. The paper discusses Euler methods for Caputo differential equation initial value problem. The common properties of the methods are stated and demonstrated by several numerical experiments. Python codes are available to researchers for numerical simulations.
DOI : 10.5817/AM2023-3-287
Classification : 26A33, 34A08, 65L05
Keywords: Caputo derivative; numerical methods; initial value problem 
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     title = {On {Euler} methods for {Caputo} fractional differential equations},
     journal = {Archivum mathematicum},
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     publisher = {mathdoc},
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     mrnumber = {4563040},
     zbl = {07675598},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-3-287/}
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Tomášek, Petr. On Euler methods for Caputo fractional differential equations. Archivum mathematicum, Tome 59 (2023) no. 3, pp. 287-294. doi : 10.5817/AM2023-3-287. http://geodesic.mathdoc.fr/articles/10.5817/AM2023-3-287/

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