A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
Author
Temar, Bahia
Saifi, Ouiza
Djebali, Smail
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/397110.22199/issn.0717-6279-2021-02-0027
Abstract
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.