This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented.
Houas,M and Benbachir,M . (2015). Existence and uniqueness results for a nonlinear differential equations of arbitrary order. International Journal of Nonlinear Analysis and Applications, 6(2), 77-92. doi: 10.22075/ijnaa.2015.256
MLA
Houas,M , and Benbachir,M . "Existence and uniqueness results for a nonlinear differential equations of arbitrary order", International Journal of Nonlinear Analysis and Applications, 6, 2, 2015, 77-92. doi: 10.22075/ijnaa.2015.256
HARVARD
Houas M, Benbachir M. (2015). 'Existence and uniqueness results for a nonlinear differential equations of arbitrary order', International Journal of Nonlinear Analysis and Applications, 6(2), pp. 77-92. doi: 10.22075/ijnaa.2015.256
CHICAGO
M Houas and M Benbachir, "Existence and uniqueness results for a nonlinear differential equations of arbitrary order," International Journal of Nonlinear Analysis and Applications, 6 2 (2015): 77-92, doi: 10.22075/ijnaa.2015.256
VANCOUVER
Houas M, Benbachir M. Existence and uniqueness results for a nonlinear differential equations of arbitrary order. IJNAA. 2015;6(2):77-92. doi: 10.22075/ijnaa.2015.256
International Journal of Nonlinear Analysis and Applications