Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions
Abstract: In this paper, we use fixed point theorems to prove the existence and uniqueness of solution for a nonlinear fractional system with boundary conditions. At the end we present two examples illustrating the obtained results.
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Universidad Católica del Norte, Departamento de Matemáticas
2017
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oai:scielo:S0716-091720170004007272018-01-08Existence of solutions for a nonlinear fractional system with nonlocal boundary conditionsGuezane-Lakoud,A.Rebiai,G.Khaldi,R. Fractional Rieman-Liouville derivative Fractional differential equation Fixed Point Theorem Abstract: In this paper, we use fixed point theorems to prove the existence and uniqueness of solution for a nonlinear fractional system with boundary conditions. At the end we present two examples illustrating the obtained results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.4 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400727en10.4067/S0716-09172017000400727 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Fractional Rieman-Liouville derivative Fractional differential equation Fixed Point Theorem |
spellingShingle |
Fractional Rieman-Liouville derivative Fractional differential equation Fixed Point Theorem Guezane-Lakoud,A. Rebiai,G. Khaldi,R. Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
description |
Abstract: In this paper, we use fixed point theorems to prove the existence and uniqueness of solution for a nonlinear fractional system with boundary conditions. At the end we present two examples illustrating the obtained results. |
author |
Guezane-Lakoud,A. Rebiai,G. Khaldi,R. |
author_facet |
Guezane-Lakoud,A. Rebiai,G. Khaldi,R. |
author_sort |
Guezane-Lakoud,A. |
title |
Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
title_short |
Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
title_full |
Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
title_fullStr |
Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
title_full_unstemmed |
Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
title_sort |
existence of solutions for a nonlinear fractional system with nonlocal boundary conditions |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2017 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400727 |
work_keys_str_mv |
AT guezanelakouda existenceofsolutionsforanonlinearfractionalsystemwithnonlocalboundaryconditions AT rebiaig existenceofsolutionsforanonlinearfractionalsystemwithnonlocalboundaryconditions AT khaldir existenceofsolutionsforanonlinearfractionalsystemwithnonlocalboundaryconditions |
_version_ |
1718439830048735232 |