Advances in Continuous and Discrete Models
SCIE-ISI SCOPUS (2022-2023)
2731-4235
Đức
Cơ quản chủ quản: SPRINGER , Springer Science and Business Media Deutschland GmbH
Lĩnh vực:
Algebra and Number TheoryAnalysisApplied Mathematics
Các bài báo tiêu biểu
Analysis of a delay-induced mathematical model of cancer Abstract In this paper, the dynamical behavior of a mathematical model of cancer including tumor cells, immune cells, and normal cells is investigated when a delay term is induced. Though the model was originally proposed by De Pillis et al. (Math. Comput. Model. 37:1221–1244, 2003), to make the model more realistic, we have added a delay term into the model, and it... ... hiện toàn bộ
Geometric properties of the meromorphic functions class through special functions associated with a linear operatorAbstract According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research. In this effort, an attempt is made by utilizing the sai... ... hiện toàn bộ
Tập 2022 Số 1 - 2022
An inverse problem of fourth-order partial differential equation with nonlocal integral conditionAbstract In this study, the time-dependent potential coefficient in a higher-order PDE with initial and boundary conditions is numerically constructed for the first time from a nonlocal integral condition. Even though the inverse identification problem investigated in this study is ill-posed, it has a unique solution. For discretizing the direct problem and finding ... ... hiện toàn bộ
Tập 2022 Số 1
Một bộ tích phân bậc hai với độ chính xác thấp cho phương trình Schrödinger phi tuyến Dịch bởi AI Tóm tắt Trong bài báo này, chúng tôi phân tích một bộ tích phân mới theo kiểu mũ cho phương trình Schrödinger phi tuyến bậc ba trên torus nhiều chiều d $\mathbb{T}^{d}$
T
d
$H^{\gamma }(\mathbb{T}^{d})$
H
γ
(
T
d
)
$H^{\gamma +2}(\mathbb{T}^{d})$
H
γ
+
2
(
T
d
)
$\gamma > d/2$ hiện toàn bộ
Tập 2022 Số 1 - 2022
Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical modelAbstract Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating quality of water cause of greenhouse gases on the population of aquatic animals. In the proposed system, we recall that greenhouse gases raise the temp... ... hiện toàn bộ
Tập 2022 Số 1 - 2022
Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocksAbstract This paper proposes a local meshless radial basis function (RBF) method to obtain the solution of the two-dimensional time-fractional Sobolev equation. The model is formulated with the Caputo fractional derivative. The method uses the RBF to approximate the spatial operator, and a finite-difference algorithm as the time-stepping approach for the solution in... ... hiện toàn bộ
Tập 2022 Số 1
Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η -contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived ... ... hiện toàn bộ
Partial asymptotic stability of neutral pantograph stochastic differential equations with Markovian switchingAbstract In this paper, we investigate the partial asymptotic stability (PAS) of neutral pantograph stochastic differential equations with Markovian switching (NPSDEwMSs). The main tools used to show the results are the Lyapunov method and the stochastic calculus techniques. We discuss a numerical example to illustrate our main results.
Tập 2022 Số 1 - 2022
Mittag–Leffler stability, control, and synchronization for chaotic generalized fractional-order systemsAbstract In this paper, we investigate the generalized fractional system (GFS) with order lying in $(1, 2)$
(
1
,
2
)
$(1, 2)$
(
1
,
2
)
$(1, 2)$
(
1
,
2
)
$(1, 2)$ hiện toàn bộ
Tập 2022 Số 1
Existence of solutions for a class of nonlinear fractional difference equations of the Riemann–Liouville typeAbstract Nonlinear fractional difference equations are studied deeply and extensively by many scientists by using fixed-point theorems on different types of function spaces. In this study, we combine fixed-point theory with a set of falling fractional functions in a Banach space to prove the existence and uniqueness of solutions of a class of fractional difference e... ... hiện toàn bộ
- 2022