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@article{SJVM_2021_24_4_a2,
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/}
}
TY - JOUR AU - S. Guemar AU - H. Guebbai AU - S. Lemita TI - On an integro-differential fractional nonlinear Volterra-Caputo equation JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2021 SP - 365 EP - 382 VL - 24 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a2/ LA - ru ID - SJVM_2021_24_4_a2 ER -
%0 Journal Article %A S. Guemar %A H. Guebbai %A S. Lemita %T On an integro-differential fractional nonlinear Volterra-Caputo equation %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2021 %P 365-382 %V 24 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a2/ %G ru %F SJVM_2021_24_4_a2
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/
[1] Guebbai H., Aissaoui M. Z., Debbar I., Khalla B., “Analytical and numerical study for an integro-differential nonlinear Volterra equation”, Applied Mathematics and Computation, 229 (2014), 367–373
[2] Linz P., Analytical and Numerical Methods for Volterra Equations, SIAM, Philadelphia, 1985
[3] Brunner H., “The numerical treatment of Volterra integro-differential equations with unbounded delay”, J. Comp. Appl. Math., 28 (1989), 5–23
[4] Babaaghaie A., Maleknejad K., “Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet”, J. Comp. Appl. Math., 317 (2017), 643–651
[5] Ghiat M., Guebbai H., “Analytical and numerical study for an integro-differential nonlinear Volterra equation with weakly singular kernel”, Comp. Appl. Math., 37:4 (2018), 4661–4674
[6] Segni S., Ghiat M., Guebbai H., “New approximation method for Volterra nonlinear integro-differential equation”, Asian-European J. of Mathematics, 12:1 (2019), 1950016 | DOI
[7] Touati S., Lemita S., Ghiat M., Aissaoui M. Z., “Solving a nonlinear Volterra-Fredholm integro-differential equation with weakly singular kernels”, Fasciculi Mathematici, 62:1 (2019), 155–168
[8] Salah S., Guebbai H., Lemita S., Aissaoui M. Z., “Solution of an integro-differential nonlinear equation of volterra arising of earthquake model”, Boletim da Sociedade Paranaense de Matematica, 2020 | DOI
[9] Kilbas A. A., Srivastava H. H., Trujillo J. J., Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204, Elsevier Science, 2006
[10] Guebbai H., Ghiat M., “New conformable fractional derivative definition for positive and increasing functions and its generalization”, Advances in Dynamical Systems and Applications, 11:2 (2016), 105–111
[11] Lipschutz S., General Topology, Schaum's Outlines, McGraw-Hill, New York, 1965
[12] Gu Z., Guo X., Sun D., “Series expansion method for weakly singular Volterra integral equations”, Applied Numerical Mathematics, 105:C (2016), 112–123
[13] Zhu L., Wang Y., “Numerical solutions of Volterra integral equation with weakly singular kernel using SCW method”, Applied Mathematics and Computation, 260:C (2015), 63–70
[14] Atkinson K., Han W., Theoretical Numerical Analysis: A Functional Analysis Framework, Springer-Verlag, New York, 2001
[15] Khalil R., Al Horani M., Yousef A., Sababheh M., “A new definition of fractional derivative”, J. Comp. Appl. Math., 264 (2014), 65–70