An Analysis Regarding to Approximate Controllability for Hilfer Fractional Neutral Evolution Hemivariational Inequality
The main motivation of our conversation is the approximate controllability of Hilfer fractional neutral evolution hemivariational inequalities. Using fractional calculus, the theory of operators semigroup and the probability density function, we first construct a new C 1 - β mild solution for Hilfer...
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| Published in | Qualitative theory of dynamical systems Vol. 21; no. 3 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
01.09.2022
Springer Nature B.V |
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| Online Access | Get full text |
| ISSN | 1575-5460 1662-3592 |
| DOI | 10.1007/s12346-022-00611-z |
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| Abstract | The main motivation of our conversation is the approximate controllability of Hilfer fractional neutral evolution hemivariational inequalities. Using fractional calculus, the theory of operators semigroup and the probability density function, we first construct a new
C
1
-
β
mild solution for Hilfer fractional differential inclusion. Secondly, we prove the approximate controllability of Hilfer fractional evolution hemivariational inequalities to linear and semilinear systems using characteristic solution operators and fundamental features via a fixed point theorem for multi-valued mappings. Finally, two examples are provided to demonstrate our theory. |
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| AbstractList | The main motivation of our conversation is the approximate controllability of Hilfer fractional neutral evolution hemivariational inequalities. Using fractional calculus, the theory of operators semigroup and the probability density function, we first construct a new C1-β mild solution for Hilfer fractional differential inclusion. Secondly, we prove the approximate controllability of Hilfer fractional evolution hemivariational inequalities to linear and semilinear systems using characteristic solution operators and fundamental features via a fixed point theorem for multi-valued mappings. Finally, two examples are provided to demonstrate our theory. The main motivation of our conversation is the approximate controllability of Hilfer fractional neutral evolution hemivariational inequalities. Using fractional calculus, the theory of operators semigroup and the probability density function, we first construct a new C 1 - β mild solution for Hilfer fractional differential inclusion. Secondly, we prove the approximate controllability of Hilfer fractional evolution hemivariational inequalities to linear and semilinear systems using characteristic solution operators and fundamental features via a fixed point theorem for multi-valued mappings. Finally, two examples are provided to demonstrate our theory. |
| ArticleNumber | 80 |
| Author | Vijayakumar, V. Kavitha, K. |
| Author_xml | – sequence: 1 givenname: K. surname: Kavitha fullname: Kavitha, K. organization: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology – sequence: 2 givenname: V. orcidid: 0000-0001-5976-5794 surname: Vijayakumar fullname: Vijayakumar, V. email: vijaysarovel@gmail.com organization: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology |
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| Keywords | Hemivariational inequality 34K40 34G10 Approximate controllability Hilfer fractional derivative Generalized Clarke’s subdifferential Neutral systems 93B05 26A33 34G25 |
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| SubjectTerms | Controllability Difference and Functional Equations Dynamical Systems and Ergodic Theory Evolution Fixed points (mathematics) Fractional calculus Inequalities Mathematics Mathematics and Statistics Operators (mathematics) Probability density functions |
| Title | An Analysis Regarding to Approximate Controllability for Hilfer Fractional Neutral Evolution Hemivariational Inequality |
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