Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2
This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo&g...
| الحاوية / القاعدة: | Fractal and Fractional |
|---|---|
| المؤلفون الرئيسيون: | , , , , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
MDPI AG
2024-08-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://www.mdpi.com/2504-3110/8/9/499 |
| _version_ | 1849715250916491264 |
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| author | Anurag Shukla Sumati Kumari Panda Velusamy Vijayakumar Kamalendra Kumar Kothandabani Thilagavathi |
| author_facet | Anurag Shukla Sumati Kumari Panda Velusamy Vijayakumar Kamalendra Kumar Kothandabani Thilagavathi |
| author_sort | Anurag Shukla |
| collection | DOAJ |
| container_title | Fractal and Fractional |
| description | This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo><</mo><mi mathvariant="sans-serif">q</mi><mo><</mo><mn>2</mn></mrow></semantics></math></inline-formula>. Stochastic analysis, cosine families, fixed point theory, and fractional calculus provide the foundation of the main results. First, we explored the prospects of finding mild solutions for the Hilfer fractional stochastic differential equation. Subsequently, we determined that the specified system is approximately controllable. Finally, an example displays the theoretical application of the results. |
| format | Article |
| id | doaj-art-4e64658f99844e17ba74db6d96eb366d |
| institution | Directory of Open Access Journals |
| issn | 2504-3110 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-4e64658f99844e17ba74db6d96eb366d2025-08-20T01:55:27ZengMDPI AGFractal and Fractional2504-31102024-08-018949910.3390/fractalfract8090499Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2Anurag Shukla0Sumati Kumari Panda1Velusamy Vijayakumar2Kamalendra Kumar3Kothandabani Thilagavathi4Department of Applied Sciences & Humanities, Rajkiya Engineering College, Kannauj 209732, IndiaDepartment of Mathematics, GMR Institute of Technology, Rajam 532127, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, IndiaDepartment of Basic Science, SRMS College of Engineering & Technology, Bareilly 243001, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, IndiaThis paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo><</mo><mi mathvariant="sans-serif">q</mi><mo><</mo><mn>2</mn></mrow></semantics></math></inline-formula>. Stochastic analysis, cosine families, fixed point theory, and fractional calculus provide the foundation of the main results. First, we explored the prospects of finding mild solutions for the Hilfer fractional stochastic differential equation. Subsequently, we determined that the specified system is approximately controllable. Finally, an example displays the theoretical application of the results.https://www.mdpi.com/2504-3110/8/9/499approximate controllabilityhilfer fractional derivativemulti-valued mapsstochastic theoryfixed point theorem |
| spellingShingle | Anurag Shukla Sumati Kumari Panda Velusamy Vijayakumar Kamalendra Kumar Kothandabani Thilagavathi Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2 approximate controllability hilfer fractional derivative multi-valued maps stochastic theory fixed point theorem |
| title | Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2 |
| title_full | Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2 |
| title_fullStr | Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2 |
| title_full_unstemmed | Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2 |
| title_short | Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2 |
| title_sort | approximate controllability of hilfer fractional stochastic evolution inclusions of order 1 q 2 |
| topic | approximate controllability hilfer fractional derivative multi-valued maps stochastic theory fixed point theorem |
| url | https://www.mdpi.com/2504-3110/8/9/499 |
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