Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators
In our paper, we mainly concentrate on the existence of Hilfer fractional neutral stochastic Volterra integro-differential inclusions with almost sectorial operators. The facts related to fractional calculus, stochastic analysis theory, and the fixed point theorem for multivalued maps are used to pr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/12/2074 |
| _version_ | 1797484703685541888 |
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| author | Sivajiganesan Sivasankar Ramalingam Udhayakumar |
| author_facet | Sivajiganesan Sivasankar Ramalingam Udhayakumar |
| author_sort | Sivajiganesan Sivasankar |
| collection | DOAJ |
| description | In our paper, we mainly concentrate on the existence of Hilfer fractional neutral stochastic Volterra integro-differential inclusions with almost sectorial operators. The facts related to fractional calculus, stochastic analysis theory, and the fixed point theorem for multivalued maps are used to prove the result. In addition, an illustration of the principle is provided. |
| first_indexed | 2024-03-09T23:09:12Z |
| format | Article |
| id | doaj.art-cdd9c7881ca945feae395d028b007506 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:09:12Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-cdd9c7881ca945feae395d028b0075062023-11-23T17:49:19ZengMDPI AGMathematics2227-73902022-06-011012207410.3390/math10122074Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial OperatorsSivajiganesan Sivasankar0Ramalingam Udhayakumar1Department 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, IndiaIn our paper, we mainly concentrate on the existence of Hilfer fractional neutral stochastic Volterra integro-differential inclusions with almost sectorial operators. The facts related to fractional calculus, stochastic analysis theory, and the fixed point theorem for multivalued maps are used to prove the result. In addition, an illustration of the principle is provided.https://www.mdpi.com/2227-7390/10/12/2074Hilfer fractional (<i>HF</i>) systemneutral systemstochastic systemintegro-differential systemalmost sectorial operatorsmultivalued maps |
| spellingShingle | Sivajiganesan Sivasankar Ramalingam Udhayakumar Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators Mathematics Hilfer fractional (<i>HF</i>) system neutral system stochastic system integro-differential system almost sectorial operators multivalued maps |
| title | Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators |
| title_full | Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators |
| title_fullStr | Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators |
| title_full_unstemmed | Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators |
| title_short | Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators |
| title_sort | hilfer fractional neutral stochastic volterra integro differential inclusions via almost sectorial operators |
| topic | Hilfer fractional (<i>HF</i>) system neutral system stochastic system integro-differential system almost sectorial operators multivalued maps |
| url | https://www.mdpi.com/2227-7390/10/12/2074 |
| work_keys_str_mv | AT sivajiganesansivasankar hilferfractionalneutralstochasticvolterraintegrodifferentialinclusionsviaalmostsectorialoperators AT ramalingamudhayakumar hilferfractionalneutralstochasticvolterraintegrodifferentialinclusionsviaalmostsectorialoperators |