Abstract Volterra operators

Жуковский, Евгений Семенович; Alves, Manuel

doi:10.3103/s1066369x08030018

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Cited by 12 publications

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“…The general and new definition in the sense of Tonelli of Volterra operators is provided in Tonelli [2]. To study some results of the functional equations in terms of Volterra operators and causal operators, we recommend previous studies [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Analysis of fractional integro causal evolution impulsive systems on time scales

Pervaiz

Zada

Popa

et al. 2023

Math Methods in App Sciences

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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 Grönwall inequality and Gröwall 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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Section: Introductionmentioning

confidence: 99%