Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps
In this paper, we explore the approximative controllability of fractional stochastic differential inclusions (SDIs) of Sobolev-type with fractional derivatives in Atangana-Baleanu (AB) sense and Poisson jumps. Our findings are supported by the fixed point theorem, multi-valued map theory, compact se...
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AIMS Press
2023-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231290?viewType=HTML |
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| author | A. M. Sayed Ahmed Hamdy M. Ahmed Nesreen Sirelkhtam Elmki Abdalla Assmaa Abd-Elmonem E. M. Mohamed |
| author_facet | A. M. Sayed Ahmed Hamdy M. Ahmed Nesreen Sirelkhtam Elmki Abdalla Assmaa Abd-Elmonem E. M. Mohamed |
| author_sort | A. M. Sayed Ahmed |
| collection | DOAJ |
| description | In this paper, we explore the approximative controllability of fractional stochastic differential inclusions (SDIs) of Sobolev-type with fractional derivatives in Atangana-Baleanu (AB) sense and Poisson jumps. Our findings are supported by the fixed point theorem, multi-valued map theory, compact semigroup theory and stochastic analysis principles. In the later part, an illustration is provided to clarify the established outcomes. |
| first_indexed | 2024-03-11T22:06:43Z |
| format | Article |
| id | doaj.art-39ec5dd0c85c4a728a45d91e3386f6d6 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T22:06:43Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-39ec5dd0c85c4a728a45d91e3386f6d62023-09-25T01:18:37ZengAIMS PressAIMS Mathematics2473-69882023-08-01810252882531010.3934/math.20231290Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumpsA. M. Sayed Ahmed0Hamdy M. Ahmed1Nesreen Sirelkhtam Elmki Abdalla2Assmaa Abd-Elmonem3E. M. Mohamed41. Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt3. Department of Mathematics, College of Science, Abha, King Khalid University, Saudi Arabia3. Department of Mathematics, College of Science, Abha, King Khalid University, Saudi Arabia4. Basic Science Department, Delta Higher Institute for Engineering and Technology, EgyptIn this paper, we explore the approximative controllability of fractional stochastic differential inclusions (SDIs) of Sobolev-type with fractional derivatives in Atangana-Baleanu (AB) sense and Poisson jumps. Our findings are supported by the fixed point theorem, multi-valued map theory, compact semigroup theory and stochastic analysis principles. In the later part, an illustration is provided to clarify the established outcomes.https://www.aimspress.com/article/doi/10.3934/math.20231290?viewType=HTMLfractional calculusstochastic differential inclusionscontrol theorypoisson jumps |
| spellingShingle | A. M. Sayed Ahmed Hamdy M. Ahmed Nesreen Sirelkhtam Elmki Abdalla Assmaa Abd-Elmonem E. M. Mohamed Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps AIMS Mathematics fractional calculus stochastic differential inclusions control theory poisson jumps |
| title | Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps |
| title_full | Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps |
| title_fullStr | Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps |
| title_full_unstemmed | Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps |
| title_short | Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps |
| title_sort | approximate controllability of sobolev type atangana baleanu fractional differential inclusions with noise effect and poisson jumps |
| topic | fractional calculus stochastic differential inclusions control theory poisson jumps |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231290?viewType=HTML |
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