Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation
We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and their combination with the properties of measure t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021484?viewType=HTML |
| _version_ | 1818649924720394240 |
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| author | Velusamy Kavitha Dumitru Baleanu Jeyakumar Grayna |
| author_facet | Velusamy Kavitha Dumitru Baleanu Jeyakumar Grayna |
| author_sort | Velusamy Kavitha |
| collection | DOAJ |
| description | We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and their combination with the properties of measure theory. An example is provided to outline the thought developed on this work. |
| first_indexed | 2024-12-17T01:42:03Z |
| format | Article |
| id | doaj.art-4f6b97ee302e4ae3af10696ee764b239 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-17T01:42:03Z |
| publishDate | 2021-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4f6b97ee302e4ae3af10696ee764b2392022-12-21T22:08:17ZengAIMS PressAIMS Mathematics2473-69882021-05-01688352836610.3934/math.2021484Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equationVelusamy Kavitha0Dumitru Baleanu1Jeyakumar Grayna21. Department of Mathematics, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India2. Department of Mathematics, Cankaya University, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania2. Department of Mathematics, Cankaya University, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, RomaniaWe discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and their combination with the properties of measure theory. An example is provided to outline the thought developed on this work.https://www.aimspress.com/article/doi/10.3934/math.2021484?viewType=HTMLmeasure theorymeasure-pseudo almost automorphic functionsfractional differential equationimpulsive conditions |
| spellingShingle | Velusamy Kavitha Dumitru Baleanu Jeyakumar Grayna Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation AIMS Mathematics measure theory measure-pseudo almost automorphic functions fractional differential equation impulsive conditions |
| title | Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation |
| title_full | Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation |
| title_fullStr | Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation |
| title_full_unstemmed | Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation |
| title_short | Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation |
| title_sort | measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation |
| topic | measure theory measure-pseudo almost automorphic functions fractional differential equation impulsive conditions |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021484?viewType=HTML |
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