An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects
Abstract In this article, we establish a new class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. We investigate the qualitative properties of the considered systems. In fact, the article contains three segments, and the first segment is devoted to investig...
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2021
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oai:doaj.org-article:d5360da1f51e41cbb7cbede21da8bac52021-11-14T12:10:31ZAn analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects10.1186/s13662-021-03646-91687-1847https://doaj.org/article/d5360da1f51e41cbb7cbede21da8bac52021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03646-9https://doaj.org/toc/1687-1847Abstract In this article, we establish a new class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. We investigate the qualitative properties of the considered systems. In fact, the article contains three segments, and the first segment is devoted to investigating the existence and uniqueness results. In the second segment, we study the stability analysis, while the third segment is devoted to investigating the controllability criterion. We use the Leray–Schauder and Banach fixed point theorems to prove our results. Moreover, the obtained results are examined with the help of an example.Bakhtawar PervaizAkbar ZadaSina EtemadShahram RezapourSpringerOpenarticleTime scalesDynamic systemHyers–Ulam stabilityControllabilityImpulsive effectsMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-36 (2021) |
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DOAJ |
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DOAJ |
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EN |
| topic |
Time scales Dynamic system Hyers–Ulam stability Controllability Impulsive effects Mathematics QA1-939 |
| spellingShingle |
Time scales Dynamic system Hyers–Ulam stability Controllability Impulsive effects Mathematics QA1-939 Bakhtawar Pervaiz Akbar Zada Sina Etemad Shahram Rezapour An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| description |
Abstract In this article, we establish a new class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. We investigate the qualitative properties of the considered systems. In fact, the article contains three segments, and the first segment is devoted to investigating the existence and uniqueness results. In the second segment, we study the stability analysis, while the third segment is devoted to investigating the controllability criterion. We use the Leray–Schauder and Banach fixed point theorems to prove our results. Moreover, the obtained results are examined with the help of an example. |
| format |
article |
| author |
Bakhtawar Pervaiz Akbar Zada Sina Etemad Shahram Rezapour |
| author_facet |
Bakhtawar Pervaiz Akbar Zada Sina Etemad Shahram Rezapour |
| author_sort |
Bakhtawar Pervaiz |
| title |
An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| title_short |
An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| title_full |
An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| title_fullStr |
An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| title_full_unstemmed |
An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| title_sort |
analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/d5360da1f51e41cbb7cbede21da8bac5 |
| work_keys_str_mv |
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| _version_ |
1718429435109048320 |