Existence of Hilfer fractional neutral stochastic differential systems with infinite delay
The goal of this study is to propose the existence of mild solutions to delay fractional neutral stochastic differential systems with almost sectorial operators involving the Hilfer fractional (HF) derivative in Hilbert space, which generalized the famous Riemann-Liouville fractional derivative. Th...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2024-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/694 |
| _version_ | 1797234195507970048 |
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| author | S. Sivasankar R. Udhayakumar V. Muthukumaran G. Gokul S. Al-Omari |
| author_facet | S. Sivasankar R. Udhayakumar V. Muthukumaran G. Gokul S. Al-Omari |
| author_sort | S. Sivasankar |
| collection | DOAJ |
| description |
The goal of this study is to propose the existence of mild solutions to delay fractional neutral stochastic differential systems with almost sectorial operators involving the Hilfer fractional (HF) derivative in Hilbert space, which generalized the famous Riemann-Liouville fractional derivative. The main techniques rely on the basic principles and concepts from fractional calculus, semigroup theory, almost sectorial operators, stochastic analysis, and the Mönch fixed point theorem via the measure of noncompactness (MNC). Particularly, the existence result of the equation is obtained under some weakly compactness conditions. An example is given at the end of this article to show the applications of the obtained abstract results.
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| first_indexed | 2024-04-24T16:28:12Z |
| format | Article |
| id | doaj.art-75cfbf99da394884876397c22f4cb743 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-04-24T16:28:12Z |
| publishDate | 2024-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-75cfbf99da394884876397c22f4cb7432024-03-30T14:47:09ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112024-03-01113110.31489/2024m1/174-193Existence of Hilfer fractional neutral stochastic differential systems with infinite delayS. SivasankarR. UdhayakumarV. MuthukumaranG. GokulS. Al-Omari The goal of this study is to propose the existence of mild solutions to delay fractional neutral stochastic differential systems with almost sectorial operators involving the Hilfer fractional (HF) derivative in Hilbert space, which generalized the famous Riemann-Liouville fractional derivative. The main techniques rely on the basic principles and concepts from fractional calculus, semigroup theory, almost sectorial operators, stochastic analysis, and the Mönch fixed point theorem via the measure of noncompactness (MNC). Particularly, the existence result of the equation is obtained under some weakly compactness conditions. An example is given at the end of this article to show the applications of the obtained abstract results. https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/694Hilfer fractional evolution systemNeutral systemMeasure of noncompactnessFixed point theorem |
| spellingShingle | S. Sivasankar R. Udhayakumar V. Muthukumaran G. Gokul S. Al-Omari Existence of Hilfer fractional neutral stochastic differential systems with infinite delay Қарағанды университетінің хабаршысы. Математика сериясы Hilfer fractional evolution system Neutral system Measure of noncompactness Fixed point theorem |
| title | Existence of Hilfer fractional neutral stochastic differential systems with infinite delay |
| title_full | Existence of Hilfer fractional neutral stochastic differential systems with infinite delay |
| title_fullStr | Existence of Hilfer fractional neutral stochastic differential systems with infinite delay |
| title_full_unstemmed | Existence of Hilfer fractional neutral stochastic differential systems with infinite delay |
| title_short | Existence of Hilfer fractional neutral stochastic differential systems with infinite delay |
| title_sort | existence of hilfer fractional neutral stochastic differential systems with infinite delay |
| topic | Hilfer fractional evolution system Neutral system Measure of noncompactness Fixed point theorem |
| url | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/694 |
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