| dc.creator | Ram Gautam, Ganga | |
| dc.creator | Pinelas, Sandra | |
| dc.creator | Kumar, Manoj | |
| dc.creator | Arya, Namrata | |
| dc.creator | Bishnoi, Jaimala | |
| dc.date | 2023-12-20 | |
| dc.date.accessioned | 2024-04-16T14:16:57Z | |
| dc.date.available | 2024-04-16T14:16:57Z | |
| dc.identifier | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3577 | |
| dc.identifier | 10.56754/0719-0646.2503.363 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/241508 | |
| dc.description | In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order impulsive differential equations. Further, we obtain sufficient conditions of the existence of mild solution for instantaneous and non-instantaneous impulsive fractional functional differential inclusions with state-dependent delay (IFDIw/SDD) using the multi-valued fixed point theory and operator techniques. Furthermore, we study the trajectory controllability (\(\mathcal{T}-\)controllability) of the AFDEw/SDD. At last, we present some examples to illustrate the sufficient conditions involving partial and ordinary derivatives. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3577/2326 | |
| dc.rights | Copyright (c) 2023 G. R. Gautam et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 25 No. 3 (2023); 363–386 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 25 No. 3 (2023); 363–386 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Fractional differential equation | en-US |
| dc.subject | functional-differential equations with fractional derivatives | en-US |
| dc.subject | initial value problems | en-US |
| dc.subject | fixed point theorems | en-US |
| dc.subject | controllability | en-US |
| dc.subject | 34A08 | en-US |
| dc.subject | 34K37 | en-US |
| dc.subject | 34A12 | en-US |
| dc.subject | 37H10 | en-US |
| dc.subject | 93B05 | en-US |
| dc.title | On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
