The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations
Using the Cădariu–Radu method derived from the Diaz–Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential equations defined on compact domains. Next, we show the main results for unbounded domains. To illustrate the main result fo...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/12/1408 |
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| author | Safoura Rezaei Aderyani Reza Saadati Michal Fečkan |
| author_facet | Safoura Rezaei Aderyani Reza Saadati Michal Fečkan |
| author_sort | Safoura Rezaei Aderyani |
| collection | DOAJ |
| description | Using the Cădariu–Radu method derived from the Diaz–Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential equations defined on compact domains. Next, we show the main results for unbounded domains. To illustrate the main result for a fractional system, we present an example. |
| first_indexed | 2024-03-10T10:19:53Z |
| format | Article |
| id | doaj.art-ce5d8d516f044ffaa17e09440758dc65 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T10:19:53Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ce5d8d516f044ffaa17e09440758dc652023-11-22T00:32:01ZengMDPI AGMathematics2227-73902021-06-01912140810.3390/math9121408The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential EquationsSafoura Rezaei Aderyani0Reza Saadati1Michal Fečkan2School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1311416846, IranSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1311416846, IranDepartment of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 84248 Bratislava, SlovakiaUsing the Cădariu–Radu method derived from the Diaz–Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential equations defined on compact domains. Next, we show the main results for unbounded domains. To illustrate the main result for a fractional system, we present an example.https://www.mdpi.com/2227-7390/9/12/1408hypergeometric control functionstabilityΩ-Hilfer fractional differential equationsDiaz–Margolis theorem |
| spellingShingle | Safoura Rezaei Aderyani Reza Saadati Michal Fečkan The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations Mathematics hypergeometric control function stability Ω-Hilfer fractional differential equations Diaz–Margolis theorem |
| title | The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations |
| title_full | The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations |
| title_fullStr | The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations |
| title_full_unstemmed | The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations |
| title_short | The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations |
| title_sort | cadariu radu method for existence uniqueness and gauss hypergeometric stability of ω hilfer fractional differential equations |
| topic | hypergeometric control function stability Ω-Hilfer fractional differential equations Diaz–Margolis theorem |
| url | https://www.mdpi.com/2227-7390/9/12/1408 |
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