Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Denghao Pang"'
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:
Agriculture, Vol 12, Iss 12, p 2160 (2022)
As a daily staple food of more than one third of the world’s population, wheat is one of the main food crops in the world. The increase in wheat production will help meet the current global food security needs. In the process of wheat growth, disea
Externí odkaz:
https://doaj.org/article/ef67273dae704e929cf0cef352420fa4
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-13 (2019)
Abstract In this paper, we investigate the generalized Bagley–Torvik equation with the fractional order (0,2) $(0,2)$. With a novel max-metric containing a Caputo derivative, the existence and uniqueness of the solution to the initial value problem
Externí odkaz:
https://doaj.org/article/6cf4aa1895d4441aa667587445660d20
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:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-9 (2018)
Abstract In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouville and Caputo derivatives of t
Externí odkaz:
https://doaj.org/article/d5275c9e0dce4ebdacdebb1f82181ae0
Publikováno v:
Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-22 (2017)
Abstract In this paper, we apply the fractional calculus and a suitable fixed point theorem with the measure of noncompactness to give the sufficient conditions of the controllability for a new class of fractional neutral integro-differential evoluti
Externí odkaz:
https://doaj.org/article/6e5f0683a490423ca7efcddb043d4b64
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
Publikováno v:
Complexity, Vol 2018 (2018)
The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with
Externí odkaz:
https://doaj.org/article/59d7ccedc5f04d1487431884a7aa91f2
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:10047-10073
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::060da0dca62e06f148096a19a47a25a0
https://doi.org/10.1002/mma.9101
https://doi.org/10.1002/mma.9101
Publikováno v:
Applied Mathematics Letters. 144:108720
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63bfc22f89e19dc9e45b1a4d0f922940
https://doi.org/10.1016/j.aml.2023.108720
https://doi.org/10.1016/j.aml.2023.108720