Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 544
Bi-nonlocal fractional p(x)-laplacian problem via Krasnoselkii’s genus and Neumann boundary condition
Nezha Kamali, Elhoussine Azroul, Mohammed Shimi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 28, 2022
March 03, 2441
April 15, 2441

Abstract: In this paper, we are concerned with a class of a bi-nonlocal problem involving the generalized integro-differential operator of elliptic type (with singular kernel K) with nonlocal nonlinear Neumann boundary conditions. By the Krasnoselkii’s genus theory, we show the existence of infinitely many solutions in a general fractional Sobolev space with variable exponent.