Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Jiale Sheng"'
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
Abstract In this paper, we mainly investigate the existence, continuous dependence, and the optimal control for nonlocal fractional differential evolution equations of order (1,2) in Banach spaces. We define a competent definition of a mild solution.
Externí odkaz:
https://doaj.org/article/3602633af79e4fa58ed6a7c5f1ee8801
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-23 (2020)
Abstract We discuss the controllability for a damped fractional differential system with impulses and state delay, which involves Caputo fractional derivatives. Deriving the condition based on the Gramian matrix defined by the Mittag-Leffler matrix f
Externí odkaz:
https://doaj.org/article/7592cf4ad69d421ca993ef1f66602349
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020)
Abstract In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers a
Externí odkaz:
https://doaj.org/article/c8a01e011ce442419447acfb194b176c
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Abstract In this study, we are currently investigating the controllability of nonlinear fractional differential control systems with delays in the state function. The solution representations of fractional delay differential equations have been estab
Externí odkaz:
https://doaj.org/article/90e093bf86884c108896bf53edbee661
Publikováno v:
Complexity, Vol 2020 (2020)
This paper investigates a fractional-order linear system in the frame of Atangana–Baleanu fractional derivative. First, we prove that some properties for the Caputo fractional derivative also hold in the sense of AB fractional derivative. Subsequen
Externí odkaz:
https://doaj.org/article/b0dc61cc1b6844f1845b777adef1c4a2
Publikováno v:
Mathematics, Vol 8, Iss 12, p 2139 (2020)
This paper is concerned with controllability of nonlinear fractional dynamical systems with a Mittag–Leffler kernel. First, the solution of fractional dynamical systems with a Mittag–Leffler kernel is given by Laplace transform. In addition, one
Externí odkaz:
https://doaj.org/article/26711741cb44447b8ac4d6f79ae84aca
Autor:
JiaLe Sheng, Hongguang Wu
Publikováno v:
The Ramanujan Journal. 58:131-144
In this paper, we give an estimate of the lower bounds of the least common multiple of $$a,a+b,\ldots ,a+kb$$ for $$(a,b)=1,k\in \textit{N}^+$$ . Precisely, we prove that for any two coprime positive integers a and b, we have $$\begin{aligned} L_{a,b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9791927e89d86070c0bcde4cda0555b5
https://doi.org/10.1007/s11139-021-00467-y
https://doi.org/10.1007/s11139-021-00467-y
Publikováno v:
Complexity, Vol 2020 (2020)
This paper investigates a fractional-order linear system in the frame of Atangana–Baleanu fractional derivative. First, we prove that some properties for the Caputo fractional derivative also hold in the sense of AB fractional derivative. Subsequen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::297be8b6626f5351eb15536dc24a5ec8
https://doi.org/10.1155/2020/1727358
https://doi.org/10.1155/2020/1727358
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020)
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ce45e77f2dc7383e649881531403ab7
http://link.springer.com/article/10.1186/s13662-020-02672-3
http://link.springer.com/article/10.1186/s13662-020-02672-3
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
In this study, we are currently investigating the controllability of nonlinear fractional differential control systems with delays in the state function. The solution representations of fractional delay differential equations have been established by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::415918de5b5b47ce95c07a97761a7f8d
http://link.springer.com/article/10.1186/s13662-020-02599-9
http://link.springer.com/article/10.1186/s13662-020-02599-9