alexa Existence of Solutions for a Fractional and Non-Local E
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Existence of Solutions for a Fractional and Non-Local Elliptic Operator

Mourad Chamekh*

Mathematics Department, Faculty of Sciences and Arts-Alkamel, University of Jeddah, Jeddah, Saudi Arabia

*Corresponding Author:
Chamekh M
Mathematics Department
Faculty of Sciences and Arts-Alkamel
University of Jeddah, Jeddah, Saudi Arabia
Tel: +216 98562268
E-mail: [email protected]

Received Date: October 12, 2016 Accepted Date: December 26, 2016 Published Date: December 30, 2016

Citation: Chamekh M (2016) Existence of Solutions for a Fractional and Non-Local Elliptic Operator. J Appl Computat Math 5: 335. doi: 10.4172/2168-9679.1000335

Copyright: © 2016 Chamekh M. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

In this paper, we consider a fractional and p-laplacian elliptic equation. In order to study this problem, we apply the technique of Nehari manifold and fibering map, which permit treating the existence of nontrivial solutions of a fractional and nonlocal equation, satisfies the homogeneous Dirichlet boundary conditions.

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