A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators
This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators. The key ideas of the study are illustrated by using ideas from fractional calculus, the fixed point technique, and measures of noncompactness. Then, t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/159 |
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| author | Sivajiganesan Sivasankar Ramalingam Udhayakumar Muchenedi Hari Kishor Sharifah E. Alhazmi Shrideh Al-Omari |
| author_facet | Sivajiganesan Sivasankar Ramalingam Udhayakumar Muchenedi Hari Kishor Sharifah E. Alhazmi Shrideh Al-Omari |
| author_sort | Sivajiganesan Sivasankar |
| collection | DOAJ |
| description | This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators. The key ideas of the study are illustrated by using ideas from fractional calculus, the fixed point technique, and measures of noncompactness. Then, the authors establish new criteria for the mild existence of solutions and derive fundamental characteristics of the nonlocal controllability of a system. In addition, researchers offer theoretical and real-world examples to demonstrate the effectiveness and suitability of our suggested solutions. |
| first_indexed | 2024-03-09T12:09:07Z |
| format | Article |
| id | doaj.art-dde0b13a88dc4b5799e1a08765462c38 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T12:09:07Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-dde0b13a88dc4b5799e1a08765462c382023-11-30T22:55:24ZengMDPI AGMathematics2227-73902022-12-0111115910.3390/math11010159A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial OperatorsSivajiganesan Sivasankar0Ramalingam Udhayakumar1Muchenedi Hari Kishor2Sharifah E. Alhazmi3Shrideh Al-Omari4Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, IndiaDepartment of Analytics, School of Computer Science and Engineering, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, IndiaMathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 24382, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Al-Balqa Applied University, Amman 11134, JordanThis manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators. The key ideas of the study are illustrated by using ideas from fractional calculus, the fixed point technique, and measures of noncompactness. Then, the authors establish new criteria for the mild existence of solutions and derive fundamental characteristics of the nonlocal controllability of a system. In addition, researchers offer theoretical and real-world examples to demonstrate the effectiveness and suitability of our suggested solutions.https://www.mdpi.com/2227-7390/11/1/159Hilfer fractional derivativestochastic differential systemnonlocal controllabilitymeasures of noncompactnessDarbo–Sadovskii fixed-point theoremalmost sectorial operators |
| spellingShingle | Sivajiganesan Sivasankar Ramalingam Udhayakumar Muchenedi Hari Kishor Sharifah E. Alhazmi Shrideh Al-Omari A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators Mathematics Hilfer fractional derivative stochastic differential system nonlocal controllability measures of noncompactness Darbo–Sadovskii fixed-point theorem almost sectorial operators |
| title | A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators |
| title_full | A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators |
| title_fullStr | A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators |
| title_full_unstemmed | A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators |
| title_short | A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators |
| title_sort | new result concerning nonlocal controllability of hilfer fractional stochastic differential equations via almost sectorial operators |
| topic | Hilfer fractional derivative stochastic differential system nonlocal controllability measures of noncompactness Darbo–Sadovskii fixed-point theorem almost sectorial operators |
| url | https://www.mdpi.com/2227-7390/11/1/159 |
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