A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions

A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions

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. T...

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Autores principales: Temar,Bahia, Saif,Ouiza, Djebali,Smaïl
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:
Fixed point index
Positive solution
Fractional differential equation
Nonlocal boundary condition
ϕ-Laplacian
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200447
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spelling oai:scielo:S0716-091720210002004472021-04-03A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditionsTemar,BahiaSaif,OuizaDjebali,Smaïl Fixed point index Positive solution Fractional differential equation Nonlocal boundary condition ϕ-Laplacian 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200447en10.22199/issn.0717-6279-2021-02-0027
institution Scielo Chile
collection Scielo Chile
language English
topic Fixed point index
Positive solution
Fractional differential equation
Nonlocal boundary condition
ϕ-Laplacian
spellingShingle Fixed point index
Positive solution
Fractional differential equation
Nonlocal boundary condition
ϕ-Laplacian
Temar,Bahia
Saif,Ouiza
Djebali,Smaïl
A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
description 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.
author Temar,Bahia
Saif,Ouiza
Djebali,Smaïl
author_facet Temar,Bahia
Saif,Ouiza
Djebali,Smaïl
author_sort Temar,Bahia
title A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
title_short A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
title_full A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
title_fullStr A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
title_full_unstemmed A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
title_sort system of nonlinear fractional bvps with ϕ-laplacian operators and nonlocal conditions
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200447
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