Zobrazeno 1 - 10
of 1 408
pro vyhledávání: '"34A08"'
Publikováno v:
Commun. Nonlinear Sci. Numer. Simul. 142 (2025), Art. 108501, 14pp
We study controllability and observability concepts of tempered fractional linear systems in the Caputo sense. First, we formulate a solution for the class of tempered systems under investigation by means of the Laplace transform method. Then, we der
Externí odkaz:
http://arxiv.org/abs/2412.05349
Autor:
Das, Dipam, Bhattacharjee, Debasish
In this study, an odour-mediated system is developed and studied. In an odor-mediated systems, the sense of smell or odour of species plays a critical role in the interactions between predators and prey. It is widely recognised in scientific literatu
Externí odkaz:
http://arxiv.org/abs/2412.00004
Autor:
Horvat, Matija Adam, Sarajlija, Nikola
In this article we solve the Cauchy problem for the relaxation equation posed in a framework of variable order fractional calculus. Thus, we solve the relaxation equation in, what seems to be, the most general case. After introducing some general mat
Externí odkaz:
http://arxiv.org/abs/2411.03317
Autor:
Thinh, L. V., Tuan, H. T.
This paper is devoted to the study of the asymptotic behavior of solutions to multi-order fractional cooperative systems. First, we demonstrate the boundedness of solutions to fractional-order systems under certain conditions imposed on the vector fi
Externí odkaz:
http://arxiv.org/abs/2410.14294
Autor:
Thinh, L. V., Tuan, H. T.
This paper is concerned with a generalized Halanay inequality and its applications to fractional-order delay linear systems. First, based on a sub-semigroup property of Mittag-Leffler functions, a generalized Halanay inequality is established. Then,
Externí odkaz:
http://arxiv.org/abs/2410.09370
Autor:
Thai, H. D., Tuan, H. T.
This paper systematically treats the asymptotic behavior of many (linear/nonlinear) classes of higher-order fractional differential equations with multiple terms. To do this, we utilize the characteristics of Caputo fractional differentiable function
Externí odkaz:
http://arxiv.org/abs/2410.09369
Autor:
Thinh, L. V., Tuan, H. T.
In this paper, we study a class of multi-order fractional nonlinear delay systems. Our main contribution is to show the (local or global) Mittag-Leffler stability of systems when some structural assumptions are imposed on the "vector fields": coopera
Externí odkaz:
http://arxiv.org/abs/2410.09366
This paper discusses some unusual consequences raised by the definition of the conformable derivative in the lower terminal. A replacement for this definition is proposed and statements adjusted to the new definition are presented.
Externí odkaz:
http://arxiv.org/abs/2409.02944
Autor:
Choi, Brian
We study the formation of breathers in multi-dimensional lattices with nonlocal coupling that decays algebraically. By variational methods, the exact relationship between various parameters (dimension, nonlinearity, nonlocal parameter $\alpha$) that
Externí odkaz:
http://arxiv.org/abs/2408.11177
This paper introduces nonlinear fractional Lane-Emden equations of the form, $$ D^{\alpha} y(x) + \frac{\lambda}{x^\beta}~ D^{\beta} y(x) + f(y) =0, ~ ~1 < \alpha \leq 2, ~~ 0< \beta \leq 1, ~~ 0 < x < 1,$$ subject to boundary conditions, $$ y'(0) =\
Externí odkaz:
http://arxiv.org/abs/2408.10212