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International Journal of Nonlinear Analysis and Applications
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Abdellaoui, M., DAHMANI, Z., Bedjaoui, N. (2015). New existence results for a coupled system of nonlinear differential equations of arbitrary order. International Journal of Nonlinear Analysis and Applications, 6(2), 65-75. doi: 10.22075/ijnaa.2015.255
M.A. Abdellaoui; Zoubir DAHMANI; N. Bedjaoui. "New existence results for a coupled system of nonlinear differential equations of arbitrary order". International Journal of Nonlinear Analysis and Applications, 6, 2, 2015, 65-75. doi: 10.22075/ijnaa.2015.255
Abdellaoui, M., DAHMANI, Z., Bedjaoui, N. (2015). 'New existence results for a coupled system of nonlinear differential equations of arbitrary order', International Journal of Nonlinear Analysis and Applications, 6(2), pp. 65-75. doi: 10.22075/ijnaa.2015.255
Abdellaoui, M., DAHMANI, Z., Bedjaoui, N. New existence results for a coupled system of nonlinear differential equations of arbitrary order. International Journal of Nonlinear Analysis and Applications, 2015; 6(2): 65-75. doi: 10.22075/ijnaa.2015.255

New existence results for a coupled system of nonlinear differential equations of arbitrary order

Article 6, Volume 6, Issue 2, Winter and Spring 2015, Page 65-75  XML PDF (383 K)
Document Type: Research Paper
DOI: 10.22075/ijnaa.2015.255
Authors
M.A. Abdellaoui1; Zoubir DAHMANI 2; N. Bedjaoui3
1umab
2LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
3Laboratoire LAMFA, Universit'e de Picardie Jules Vernes, INSSET St Quentin, FRANCE
Abstract
This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.
Keywords
Caputo derivative; Coupled system; Fractional differential equation; fixed point
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