Study of multi term delay fractional order impulsive differential equation using fixed point approach
This manuscript is devoted to investigate a class of multi terms delay fractional order impulsive differential equations. Our investigation includes existence theory along with Ulam type stability. By using classical fixed point theorems, we establish sufficient conditions for existence and uniquene...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-04-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022644?viewType=HTML |
| _version_ | 1818191303543881728 |
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| author | Amjad Ali Kamal Shah Dildar Ahmad Ghaus Ur Rahman Nabil Mlaiki Thabet Abdeljawad |
| author_facet | Amjad Ali Kamal Shah Dildar Ahmad Ghaus Ur Rahman Nabil Mlaiki Thabet Abdeljawad |
| author_sort | Amjad Ali |
| collection | DOAJ |
| description | This manuscript is devoted to investigate a class of multi terms delay fractional order impulsive differential equations. Our investigation includes existence theory along with Ulam type stability. By using classical fixed point theorems, we establish sufficient conditions for existence and uniqueness of solution to the proposed problem. We develop some appropriate conditions for different kinds of Ulam-Hyers stability results by using tools of nonlinear functional analysis. We demonstrate our results by an example. |
| first_indexed | 2024-12-12T00:12:28Z |
| format | Article |
| id | doaj.art-5f8be306394a4853bdd920fa5765c74c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T00:12:28Z |
| publishDate | 2022-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5f8be306394a4853bdd920fa5765c74c2022-12-22T00:44:55ZengAIMS PressAIMS Mathematics2473-69882022-04-0177115511158010.3934/math.2022644Study of multi term delay fractional order impulsive differential equation using fixed point approachAmjad Ali0Kamal Shah1Dildar Ahmad2Ghaus Ur Rahman3Nabil Mlaiki4Thabet Abdeljawad51. Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11585, Saudi Arabia 3. Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan1. Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan1. Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11585, Saudi Arabia2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11585, Saudi Arabia4. Department of Medical Research, China Medical University, Taichung 40402, TaiwanThis manuscript is devoted to investigate a class of multi terms delay fractional order impulsive differential equations. Our investigation includes existence theory along with Ulam type stability. By using classical fixed point theorems, we establish sufficient conditions for existence and uniqueness of solution to the proposed problem. We develop some appropriate conditions for different kinds of Ulam-Hyers stability results by using tools of nonlinear functional analysis. We demonstrate our results by an example.https://www.aimspress.com/article/doi/10.3934/math.2022644?viewType=HTMLimpulsive delay differential equationsexistence theorybanach theoremstability analysis |
| spellingShingle | Amjad Ali Kamal Shah Dildar Ahmad Ghaus Ur Rahman Nabil Mlaiki Thabet Abdeljawad Study of multi term delay fractional order impulsive differential equation using fixed point approach AIMS Mathematics impulsive delay differential equations existence theory banach theorem stability analysis |
| title | Study of multi term delay fractional order impulsive differential equation using fixed point approach |
| title_full | Study of multi term delay fractional order impulsive differential equation using fixed point approach |
| title_fullStr | Study of multi term delay fractional order impulsive differential equation using fixed point approach |
| title_full_unstemmed | Study of multi term delay fractional order impulsive differential equation using fixed point approach |
| title_short | Study of multi term delay fractional order impulsive differential equation using fixed point approach |
| title_sort | study of multi term delay fractional order impulsive differential equation using fixed point approach |
| topic | impulsive delay differential equations existence theory banach theorem stability analysis |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022644?viewType=HTML |
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