Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative
This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an exam...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/291 |
| _version_ | 1797486417171972096 |
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| author | Ahmed Salem Sanaa Abdullah |
| author_facet | Ahmed Salem Sanaa Abdullah |
| author_sort | Ahmed Salem |
| collection | DOAJ |
| description | This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an example of how our results can be applied. |
| first_indexed | 2024-03-09T23:32:55Z |
| format | Article |
| id | doaj.art-2eaebb23a75a4c6a97820e3953c6c404 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:32:55Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2eaebb23a75a4c6a97820e3953c6c4042023-11-23T17:05:11ZengMDPI AGMathematics2227-73902022-01-0110329110.3390/math10030291Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo DerivativeAhmed Salem0Sanaa Abdullah1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThis manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an example of how our results can be applied.https://www.mdpi.com/2227-7390/10/3/291non-instantaneous impulsesGeneralized Liouville–Caputo derivativeLeray–Schauder alternative theorem |
| spellingShingle | Ahmed Salem Sanaa Abdullah Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative Mathematics non-instantaneous impulses Generalized Liouville–Caputo derivative Leray–Schauder alternative theorem |
| title | Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative |
| title_full | Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative |
| title_fullStr | Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative |
| title_full_unstemmed | Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative |
| title_short | Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative |
| title_sort | non instantaneous impulsive bvps involving generalized liouville caputo derivative |
| topic | non-instantaneous impulses Generalized Liouville–Caputo derivative Leray–Schauder alternative theorem |
| url | https://www.mdpi.com/2227-7390/10/3/291 |
| work_keys_str_mv | AT ahmedsalem noninstantaneousimpulsivebvpsinvolvinggeneralizedliouvillecaputoderivative AT sanaaabdullah noninstantaneousimpulsivebvpsinvolvinggeneralizedliouvillecaputoderivative |