A class of nonlocal impulsive differential equations with conformable fractional derivative
In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2022-12-01
|
| Series: | Cubo |
| Subjects: | |
| Online Access: | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3208/2259 |
| _version_ | 1797678855751729152 |
|---|---|
| author | Mohamed Bouaouid Ahmed Kajouni Khalid Hilal Said Melliani |
| author_facet | Mohamed Bouaouid Ahmed Kajouni Khalid Hilal Said Melliani |
| author_sort | Mohamed Bouaouid |
| collection | DOAJ |
| description | In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results. |
| first_indexed | 2024-03-11T23:06:00Z |
| format | Article |
| id | doaj.art-ea76afd12ce04fbc9a10ea1de7dc262d |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-03-11T23:06:00Z |
| publishDate | 2022-12-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-ea76afd12ce04fbc9a10ea1de7dc262d2023-09-21T13:17:52ZengUniversidad de La FronteraCubo0716-77760719-06462022-12-0124343945510.56754/0719-0646.2403.0439A class of nonlocal impulsive differential equations with conformable fractional derivativeMohamed Bouaouid0https://orcid.org/0000-0003-0474-0121Ahmed Kajouni1https://orcid.org/0000-0001-8484-6107Khalid Hilal2https://orcid.org/0000-0002-0806-2623Said Melliani3https://orcid.org/0000-0002-5150-1185Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Béni Mellal, Morocco.Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Béni Mellal, Morocco.Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Béni Mellal, Morocco.Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Béni Mellal, Morocco.In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results.https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3208/2259functional-differential equations with fractional derivativesfunctional-differential equations with fractional derivativesgroups and semigroups of linear operatorsnonlocal conditionsimpulsive conditionsconformable fractional derivatives |
| spellingShingle | Mohamed Bouaouid Ahmed Kajouni Khalid Hilal Said Melliani A class of nonlocal impulsive differential equations with conformable fractional derivative Cubo functional-differential equations with fractional derivativesfunctional-differential equations with fractional derivatives groups and semigroups of linear operators nonlocal conditions impulsive conditions conformable fractional derivatives |
| title | A class of nonlocal impulsive differential equations with conformable fractional derivative |
| title_full | A class of nonlocal impulsive differential equations with conformable fractional derivative |
| title_fullStr | A class of nonlocal impulsive differential equations with conformable fractional derivative |
| title_full_unstemmed | A class of nonlocal impulsive differential equations with conformable fractional derivative |
| title_short | A class of nonlocal impulsive differential equations with conformable fractional derivative |
| title_sort | class of nonlocal impulsive differential equations with conformable fractional derivative |
| topic | functional-differential equations with fractional derivativesfunctional-differential equations with fractional derivatives groups and semigroups of linear operators nonlocal conditions impulsive conditions conformable fractional derivatives |
| url | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3208/2259 |
| work_keys_str_mv | AT mohamedbouaouid aclassofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT ahmedkajouni aclassofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT khalidhilal aclassofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT saidmelliani aclassofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT mohamedbouaouid classofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT ahmedkajouni classofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT khalidhilal classofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative AT saidmelliani classofnonlocalimpulsivedifferentialequationswithconformablefractionalderivative |