Analysis of fractional integro causal evolution impulsive systems on time scales

MATHEMATICAL METHODS IN THE APPLIED SCIENCES(2023)

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摘要
In this article, we study the existence and uniqueness along with Ulam-type stability of fractional integro causal evolution impulsive systems on time scales. To establish our main results, we use Picard operator along with abstract Gronwall inequality and Growall lemma. We constitute some assertions to remove difficulties. At the end, the results are demonstrated via the support of an example.
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关键词
Banach fixed point theorem,dynamic system,impulses,time scale,Ulam-Hyers stability
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