A study on the mild solution of special random impulsive fractional differential equations
In this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to il...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Western Libraries
2022-12-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/14985 |
| _version_ | 1797854739750191104 |
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| author | Sayooj Aby Jose Varun Bose C S Bijesh P Biju Abin Thomas Nirappathu house |
| author_facet | Sayooj Aby Jose Varun Bose C S Bijesh P Biju Abin Thomas Nirappathu house |
| author_sort | Sayooj Aby Jose |
| collection | DOAJ |
| description | In this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to illustrate the effectiveness of the theoretical results. |
| first_indexed | 2024-04-09T20:11:01Z |
| format | Article |
| id | doaj.art-7a9f1dd4ea2f466cbfa54b33a01bf46f |
| institution | Directory Open Access Journal |
| issn | 2563-1926 |
| language | English |
| last_indexed | 2024-04-09T20:11:01Z |
| publishDate | 2022-12-01 |
| publisher | Western Libraries |
| record_format | Article |
| series | Mathematics in Applied Sciences and Engineering |
| spelling | doaj.art-7a9f1dd4ea2f466cbfa54b33a01bf46f2023-03-31T20:25:48ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262022-12-013420021810.5206/mase/149859222A study on the mild solution of special random impulsive fractional differential equationsSayooj Aby JoseVarun Bose C SBijesh P BijuAbin Thomas Nirappathu houseIn this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to illustrate the effectiveness of the theoretical results.https://ojs.lib.uwo.ca/index.php/mase/article/view/14985existence,leray-schauder alternative fixed point fractional differential equationrandom impulsesexponential stability |
| spellingShingle | Sayooj Aby Jose Varun Bose C S Bijesh P Biju Abin Thomas Nirappathu house A study on the mild solution of special random impulsive fractional differential equations Mathematics in Applied Sciences and Engineering existence, leray-schauder alternative fixed point fractional differential equation random impulses exponential stability |
| title | A study on the mild solution of special random impulsive fractional differential equations |
| title_full | A study on the mild solution of special random impulsive fractional differential equations |
| title_fullStr | A study on the mild solution of special random impulsive fractional differential equations |
| title_full_unstemmed | A study on the mild solution of special random impulsive fractional differential equations |
| title_short | A study on the mild solution of special random impulsive fractional differential equations |
| title_sort | study on the mild solution of special random impulsive fractional differential equations |
| topic | existence, leray-schauder alternative fixed point fractional differential equation random impulses exponential stability |
| url | https://ojs.lib.uwo.ca/index.php/mase/article/view/14985 |
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