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.
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
MLA
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
HARVARD
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
VANCOUVER
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