Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive
The existence of a mild solution for nonlinear Hilfer fractional stochastic differential equations of the Sobolev type with non-instantaneous impulse in Hilbert space is investigated in this study. For nonlinear Hilfer fractional stochastic differential equations of Sobolev type with non-instantaneo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221100?viewType=HTML |
| _version_ | 1798031417241763840 |
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| author | Mohamed Adel M. Elsaid Ramadan Hijaz Ahmad Thongchai Botmart |
| author_facet | Mohamed Adel M. Elsaid Ramadan Hijaz Ahmad Thongchai Botmart |
| author_sort | Mohamed Adel |
| collection | DOAJ |
| description | The existence of a mild solution for nonlinear Hilfer fractional stochastic differential equations of the Sobolev type with non-instantaneous impulse in Hilbert space is investigated in this study. For nonlinear Hilfer fractional stochastic differential equations of Sobolev type with non-instantaneous impulsive conditions, sufficient criteria for controllability are established. Finally, an illustration of the acquired results is shown. |
| first_indexed | 2024-04-11T19:57:07Z |
| format | Article |
| id | doaj.art-846d3504ae8c4fe190054a0254f9bc7b |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T19:57:07Z |
| publishDate | 2022-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-846d3504ae8c4fe190054a0254f9bc7b2022-12-22T04:05:59ZengAIMS PressAIMS Mathematics2473-69882022-09-01711201051012510.3934/math.20221100Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsiveMohamed Adel0M. Elsaid Ramadan1Hijaz Ahmad2Thongchai Botmart31. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt2. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, Saudi Arabia3. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy4. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, ThailandThe existence of a mild solution for nonlinear Hilfer fractional stochastic differential equations of the Sobolev type with non-instantaneous impulse in Hilbert space is investigated in this study. For nonlinear Hilfer fractional stochastic differential equations of Sobolev type with non-instantaneous impulsive conditions, sufficient criteria for controllability are established. Finally, an illustration of the acquired results is shown.https://www.aimspress.com/article/doi/10.3934/math.20221100?viewType=HTMLsobolev-type nonlinear hilfer fractional stochastic differential equationexistence solutionscontrollabilitynoninstantaneous impulsive condition |
| spellingShingle | Mohamed Adel M. Elsaid Ramadan Hijaz Ahmad Thongchai Botmart Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive AIMS Mathematics sobolev-type nonlinear hilfer fractional stochastic differential equation existence solutions controllability noninstantaneous impulsive condition |
| title | Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive |
| title_full | Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive |
| title_fullStr | Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive |
| title_full_unstemmed | Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive |
| title_short | Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive |
| title_sort | sobolev type nonlinear hilfer fractional stochastic differential equations with noninstantaneous impulsive |
| topic | sobolev-type nonlinear hilfer fractional stochastic differential equation existence solutions controllability noninstantaneous impulsive condition |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221100?viewType=HTML |
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