Open AccessA system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
Author(s) -
Bahia Temar,
Ouiza Saïfi,
Smaïl Djebali
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2021-02-0027
Subject(s) - nonlinear system , degenerate energy levels , mathematics , gravitational singularity , laplace operator , operator (biology) , fixed point theorem , mathematical analysis , p laplacian , fixed point index , differential operator , point (geometry) , physics , boundary value problem , geometry , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
This work investigates the existence of multiple positive solutions for a system of two nonlinear higher-order fractional differential equations with ϕ-Laplacian operators and nonlocal conditions. A degenerate nonlinearity which obeys some general growth conditions is considered. The singularities are dealt with by approximating the fixed point operator. New existence results are presented by using the fixed point index theory. Examples of applications illustrate the theoretical results.