Title of article :
Existence and uniqueness results for a nonlinear differential equations of arbitrary order
Author/Authors :
Houas, Mohamed Faculty of Sciences and Technology - Khemis-Milian University - Ain De a, Algeria , Benbachir, Maamar Faculty of Sciences and Technology - Khemis-Milian University - Ain De a, Algeria
Abstract :
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 xed point theorems. In order
to clarify our results, some illustrative examples are also presented.
Keywords :
Caputo derivative , Boundary Value Problem , xed point theorem , local conditions
Journal title :
Astroparticle Physics
