Enantioselective cross-electrophile reactions remain a challenging subject in metal catalysis, and with respect to data, studies have mainly focused on stereoconvergent of racemic alkyl electrophiles. Here, we report an enantioselective aryl-alkenylation reaction unactivated alkenes. This method provides access number biologically important chiral molecules such as dihydrobenzofurans, indolines, indanes. The incorporated alkenyl group is suitable for further that can lead increase molecular...

Asymmetric cross-electrophile coupling has emerged as a promising tool for producing chiral molecules; however, the potential of this chemistry with metals other than nickel remains unknown. Herein, we report cobalt-catalyzed enantiospecific vinylation reaction allylic alcohol vinyl triflates. This work establishes new method synthesis enantioenriched 1,4-dienes. The proceeds through dynamic kinetic approach, which not only allows direct functionalization alcohols but also is essential to...

Controllability is a fundamental issue in the field of fractional complex network control, yet it has not received adequate attention past. This paper dedicated to exploring controllability networks involving Caputo derivative. By utilizing Cayley–Hamilton theorem and Laplace transformation, concise proof given determine linear networks. Subsequently, leveraging Schauder Fixed-Point theorem, Gramian matrix, calculus theory, we derive conditions for nonlinear with weighted adjacency matrix...

In this paper, the parameters identification and synchronization problem of fractional-order neural networks with time delays are investigated. Based on some analytical techniques an adaptive control method, a simple controller parameter update laws designed to synchronize two uncertain complex delays. Besides, system in network can be identified process synchronization. To demonstrate validity proposed several illustrative examples presented.

This paper studies the problem of partial topology identification tempered fractional complex networks. By calculus theory and pinning controlling techniques network synchronization, we propose a strategy that can greatly reduce expense identification. method also identify whole network. Sufficient conditions are given to guarantee networks by designing suitable controllers parameters update law. achieve synchronization between drive response Finally, some numerical experiments presented...

This paper studies the outer synchronization problem of discrete fractional complex networks (DFCNs) with and without presence unknown topology. A network a difference is first established analyzed. By constructing suitable Lyapunov function utilizing properties difference, criteria for DFCNs topology are based on linear matrix inequalities. Meanwhile, parameters in structure can be identified by adaptive update laws. In end, two numerical examples given to exemplify validity applicability...

This paper focuses on impulsive synchronization of fractional Takagi-Sugeno (T-S) fuzzy complex networks. A novel comparison principle is built for the system. Then a criterion established T-S networks by utilizing principle. The method also illustrated applying Rössler's

In this paper, we introduce fuzzy theory into the fractional cellular neural networks to dynamically enhance coupling strength and propose a network model with interactions. Using Lyapunov principle of differential equations, design adaptive control schemes realize synchronization obtain criteria. Finally, provide some numerical examples show effectiveness our obtained results.

Due to finite lifespan of the particles or boundedness physical space, tempered fractional calculus seems be a more reasonable choice. Stability is central issue for system. This paper focuses on Mittag–Leffler stability systems, being much different from ones pure case. Some new lemmas Caputo Riemann–Liouville derivatives are established. Besides, comparison principle and extended Lyapunov direct method used construct Finally, two examples presented illustrate effectiveness theoretical results.

By combining the interval-valued hesitant fuzzy set and soft models, purpose of this paper is to introduce concept sets. Further, some operations on sets are investigated, such as complement, “AND,” “OR,” ring sum, product operations. Then, by means reduct level sets, we present an adjustable approach based decision making numerical examples provided illustrate developed approach. Finally, weighted also introduced its application in problem shown.

In this paper, we establish a reaction‐diffusion predator‐prey model with weak Allee effect and delay analyze the conditions of Turing instability. The effects on pattern formation are discussed by numerical simulation. results show that formations change addition delay. More specifically, as constant increases, coexistence spotted stripe patterns, mixture patterns emerge successively. From an ecological point view, find play important role in spatial invasion populations.

In the face of an increasing number COVID-19 infections, one most crucial and challenging problems is to pick out reasonable reliable models. Based on data four typical cities/provinces in China, integer-order fractional SIR, SEIR, SEIR-Q, SEIR-QD, SEIR-AHQ models are systematically analyzed by AICc, BIC, RMSE, R means. Through extensive simulation comprehensive comparison, we show that perform much better than corresponding representing epidemiological information contained real data. It...

This paper explores the synchronization problem in fractional multiplex higher-order networks. Initially, a network model is established, which seamlessly integrates structures with interactions. Subsequently, by leveraging well-crafted Lyapunov function, direct method, and inequalities, it demonstrated that can achieve intra-layer synchronization, inter-layer complete synchronization. Finally, theoretical findings are validated through two numerical examples featuring simplicial complex or...

In this paper, the pinning synchronization between two fractional complex dynamical networks with nonlinear coupling, time delays and external disturbances is investigated. A Lyapunov-like theorem for system obtained. class of novel controllers designed disturbances. By using technique, calculus theory linear matrix inequalities, all nodes reach complete synchronization. above framework, coupling-configuration innercoupling are not necessarily symmetric. All involved numerical simulations...

As the COVID‐19 continues to mutate, number of infected people is increasing dramatically, and vaccine not enough fight mutated strain. In this paper, a SEIR‐type fractional model with reinfection inefficacy proposed, which can successfully capture pandemic. The existence, uniqueness, boundedness, nonnegativeness are derived. Based on basic reproduction , locally stability globally analyzed. sensitivity analysis evaluate influence each parameter rank key epidemiological parameters. Finally,...

In the famous continuous time random walk (CTRW) model, because of finite lifetime biological particles, it is sometimes necessary to temper power law measure such that waiting has a convergent first moment. The CTRW model with tempered so‐called fractional derivative. this article, we introduce derivative into complex networks describe life span or bounded physical space nodes. Some properties and systems are discussed. Generalized synchronization in two‐layer via pinning control addressed...

In this paper, a rigorous Lyapunov direct method (LDM) is proposed to analyze the stability of fractional non-linear systems involving Hadamard or Caputo–Hadamard derivatives. Based on characteristics Hadamard-type calculus, several new inequalities are derived for different definitions. By means developed and modified Laplace transform, sufficient conditions can be guarantee Hadamard–Mittag–Leffler (HML) systems. Lastly, two illustrative examples given show effectiveness our results.