Geodesic
On an integro-differential fractional nonlinear Volterra-Caputo equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 365-382 
S. Guemar; H. Guebbai; S. Lemita. On an integro-differential fractional nonlinear Volterra-Caputo equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 365-382. http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a2/
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     title = {On an integro-differential fractional nonlinear {Volterra-Caputo} equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we study a nonlinear integro-differential Volterra equation with a fractional Caputo derivative. Based on techniques derived from a study of classical Volterra equations, namely Picard's iterative sequence and the product integration method, we propose a complete analytical and numerical study of this equation. Our study is closed by the development of two numerical examples.

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