Zobrazeno 1 - 10
of 462
pro vyhledávání: '"A. Debbouche"'
Publikováno v:
Chaos Solitons Fractals 184 (2024), Art. 114987, 8pp
We investigate the dynamics of the hepatitis B virus by integrating variable-order calculus and discrete analysis. Specifically, we utilize the Caputo variable-order difference operator in this study. To establish the existence and uniqueness results
Externí odkaz:
http://arxiv.org/abs/2405.14887
Publikováno v:
Results in Physics, Vol 25, Iss , Pp 104293- (2021)
This paper deals with a set of three partial differential equations involving time-fractional derivatives and nonlinear diffusion operators. This model helps us to understand the HIV spread and transmission into the patient. First, we prove the exist
Externí odkaz:
https://doaj.org/article/03aee794c9594b438d7eead9aa05c5ab
Publikováno v:
Fractal Fract. 7 (2023), no. 2, Art. 104, 16 pp
We herein report a new class of impulsive fractional stochastic differential systems driven by mixed fractional Brownian motions with infinite delay and Hurst parameter $\hat{\cal H} \in ( 1/2, 1)$. Using fixed point techniques, a $q$-resolvent famil
Externí odkaz:
http://arxiv.org/abs/2301.09572
Autor:
Sowndarrajan, Puthur Thangaraj, Shangerganesh, Lingeshwaran, Debbouche, Amar, Torres, Delfim F. M.
Publikováno v:
Optimization 71 (2022), no. 11, 3107--3131
A heroin epidemic mathematical model with prevention information and treatment, as control interventions, is analyzed, assuming that an individual's behavioral response depends on the spreading of information about the effects of heroin. Such informa
Externí odkaz:
http://arxiv.org/abs/2111.05906
Autor:
Boukhobza, Meriem1 (AUTHOR) marboukhobza@gmail.com, Debbouche, Amar2 (AUTHOR) amar_debbouche@yahoo.fr, Shangerganesh, Lingeshwaran3 (AUTHOR) shangerganesh@nitgoa.ac.in, Nieto, Juan J.4 (AUTHOR) juanjose.nieto.roig@usc.es
Publikováno v:
Mathematics (2227-7390). Apr2024, Vol. 12 Issue 8, p1236. 24p.
Publikováno v:
Fractal Fract. 5 (2021), no. 1, Art. 22, 13 pp
We investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove existence results by applying Schauder's fixed point technique. Moreover, we show fundamental propertie
Externí odkaz:
http://arxiv.org/abs/2103.03069
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1236 (2024)
This article introduces a discrete-time fractional variable order over a SEIQR model, incorporated for COVID-19. Initially, we establish the well-possedness of solution. Further, the disease-free and the endemic equilibrium points are determined. Mor
Externí odkaz:
https://doaj.org/article/6866279d30bb4ce8b8715da5a130a156
Publikováno v:
Chaos Solitons Fractals 131 (2020), Art. 109542, 12 pp
In this article, exact traveling wave solutions of a Wick-type stochastic nonlinear Schr\"{o}dinger equation and of a Wick-type stochastic fractional Regularized Long Wave-Burgers (RLW-Burgers) equation have been obtained by using an improved computa
Externí odkaz:
http://arxiv.org/abs/1911.08903
Publikováno v:
Miskolc Math. Notes 19 (2018), no. 1, 255--271
We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems
Externí odkaz:
http://arxiv.org/abs/1804.00612
Publikováno v:
In Applied Mathematics and Computation 1 September 2022 428