Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions
Abstract In this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210005011172021-10-05Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditionsBoukehila,Ahcene Fractional differential equation Green’s function Banach contraction principle Schauder fixed point theorem Abstract In this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our existence results are based on Banach contraction principle and Schauder fixed point theorem. Two examples are provided to illustrate our results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.5 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501117en10.22199/issn.0717-6279-4271 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Fractional differential equation Green’s function Banach contraction principle Schauder fixed point theorem |
| spellingShingle |
Fractional differential equation Green’s function Banach contraction principle Schauder fixed point theorem Boukehila,Ahcene Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| description |
Abstract In this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our existence results are based on Banach contraction principle and Schauder fixed point theorem. Two examples are provided to illustrate our results. |
| author |
Boukehila,Ahcene |
| author_facet |
Boukehila,Ahcene |
| author_sort |
Boukehila,Ahcene |
| title |
Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| title_short |
Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| title_full |
Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| title_fullStr |
Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| title_full_unstemmed |
Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| title_sort |
existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2021 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501117 |
| work_keys_str_mv |
AT boukehilaahcene existenceofsolutionsofboundaryvalueproblemsfornonlinearfractionaldifferentialequationswithintegralconditions |
| _version_ |
1718439915639799808 |