Existence and uniqueness results for a nonlinear differential equations of arbitrary order
نویسندگان
1 Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria
2 Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria
doi
10.22075/ijnaa.2015.256چکیده
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.