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Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

In: Mathematica Slovaca, vol. 70, no. 5
Danfeng Luo - Zhiguo Luo
Detaily:
Rok, strany: 2020, 1231 - 1248
Kľúčové slová:
fractional differential equation, existence, Hyers-Ulam stability, time-varying delays, non-instantaneous impulses
O článku:
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses. By the Krasnoselskii's fixed point theorem, we present the new constructive existence results for the addressed equation. In addition, we deduce that the equations have Hyers-Ulam stable solutions by utilizing generalized Grönwall's inequality. Some results in this literature are new and improve some early conclusions.
Ako citovať:
ISO 690:
Luo, D., Luo, Z. 2020. Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses. In Mathematica Slovaca, vol. 70, no.5, pp. 1231-1248. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0427

APA:
Luo, D., Luo, Z. (2020). Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses. Mathematica Slovaca, 70(5), 1231-1248. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0427
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 27. 9. 2020