On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative
Abstract We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solu...
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| Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2017
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300031 |
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oai:scielo:S0719-064620170003000312018-06-25On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivativeCernea,Aurelian Differential inclusion fractional derivative initial value problem. Abstract We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.3 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300031en10.4067/S0719-06462017000300031 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Differential inclusion fractional derivative initial value problem. |
| spellingShingle |
Differential inclusion fractional derivative initial value problem. Cernea,Aurelian On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative |
| description |
Abstract We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval. |
| author |
Cernea,Aurelian |
| author_facet |
Cernea,Aurelian |
| author_sort |
Cernea,Aurelian |
| title |
On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative |
| title_short |
On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative |
| title_full |
On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative |
| title_fullStr |
On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative |
| title_full_unstemmed |
On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative |
| title_sort |
on the solution set of a fractional integro-differential inclusion involving caputo-katugampola derivative |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2017 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300031 |
| work_keys_str_mv |
AT cerneaaurelian onthesolutionsetofafractionalintegrodifferentialinclusioninvolvingcaputokatugampoladerivative |
| _version_ |
1714206797748764672 |