Geodesic
On an integro-differential fractional nonlinear Volterra-Caputo equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 365-382

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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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     author = {S. Guemar and H. Guebbai and S. Lemita},
     title = {On an integro-differential fractional nonlinear {Volterra-Caputo} equation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {365--382},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a2/}
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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/