In this paper, we consider the following kind of fractional evolution equation driven by measure with nonlocal conditions:
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The regulated proposition of fractional equation is obtained for the first time. By noncompact measure method and fixed point theorems, we obtain some sufficient conditions to ensure the existence and nonlocal controllability of mild solutions. Finally, an illustrative example is given to show practical usefulness of the analytical results.
This article is devoted to the study of the existence and uniqueness of mild solution to a class of Riemann–Liouville fractional stochastic evolution equations driven by both Wiener process and ...fractional Brownian motion. Our results are obtained by using fractional calculus, stochastic analysis, and the fixed-point technique. Moreover, an example is provided to illustrate the application of the obtained abstract results.
Swarming behaviors play an eminent role in both biological and engineering research, and show great potential applications in many emerging fields. Traditional swarming models still lack integrity, ...uniformity, and stability in swarm forming processes, resulting in fragmentation and void phenomena. Inspired by the shepherding behaviors observed in nature, we propose an integrated negotiation-control scheme for distributed swarm control of massive robots. The core idea of this scheme is that the robots at the boundary of the group herd the internal robots to form an equilibrium swarm. For this purpose, we introduce a concept of virtual group center towards which boundary robots herd internal robots. Then, a distributed negotiation mechanism is designed to allow each robot to negotiate the virtual group center only through local interactions with its neighbors. After that, we propose a shepherding-inspired swarm control law to drive a group of robots to form an integrated, uniform, and stable configuration from any initial states. Both numerical and flight simulations are presented to verify the effectiveness of our proposed swarm control scheme.
In this paper, we study a kind of fuzzy differential equation with Hilfer–Katugampola fractional derivative and nonlocal condition. By using successive approximation method, we obtain some sufficient ...conditions to ensure the existence and uniqueness of solution. An illustrative example is given to show the practical usefulness of the analytical results.
Despite the increasing interest in teacher agency in the field of language teacher psychology, little attention has been paid to how language teachers enact their agency in an under-resourced ...environment. To address the research gap, this narrative study explored how a secondary English as a foreign language teacher in Western China enacted his agency for professional development and identified its sources. The findings revealed that this teacher enacted his agency through passionate exploration of adaptive teaching and continuous investment in autonomous learning. His agency was attributed to the interplay of his past experiences, long-term goals, teaching beliefs, and the challenging working environment. Consequently, implications for teacher agency research and practice are discussed.
The current research on language teacher education has witnessed a surge in studies focusing on teacher emotions due to their recognized importance in teaching. However, limited efforts have been ...found to investigate the emotions of Chinese College English teachers in the blended teaching context. This qualitative case study aims to uncover the emotional experiences of four Chinese College English teachers and explore the causes of their emotions in the blended teaching context. Data for the study was primarily gathered through interviews and case documents. The findings indicate that teachers in Eastern China experienced more positive emotions than negative emotions in the blended teaching context, while teachers in Western China exhibited the reverse pattern. These emotions were caused by their continuous appraisal of the interaction between their personal goals and various ecological systems. The research findings underscore the crucial role of teacher emotion in blended teaching and provide implications for enhancing blended teaching practices.
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak ...solutions for the p-Laplacian fractional differential equations with derivative terms are less considered. In this article, we propose a new class of p-Laplacian fractional differential equations with the Caputo derivatives. The multiplicity of weak solutions is proved by the variational method and critical point theorem. At the end of the article, two examples are given to illustrate the validity and practicality of our main results.
Chemotherapy‐induced peripheral neuropathy (CIPN) is a significant side effect of chemotherapeutics. The mechanisms of CIPN remain substantially unidentified, although inflammation‐induced peripheral ...sensitization has been indicated as an important factor. Here, we aimed to illustrate the role of the matrix metalloproteinase (MMP)‐9‐related signaling pathway in the process of CIPN. Oxaliplatin (L‐OHP) was administered to mice to establish the CIPN model. Gelatin zymography was used to measure MMP‐9/2 activities. Western blotting and immunohistochemistry were used to measure the expression of high‐mobility group box‐1 (HMGB‐1), calcitonin gene‐related peptide and ionized calcium‐binding adapter molecule 1. Mechanical withdrawal was measured by von Frey hairs testing. Raw 264.7 cells and SH‐SY5Y cells were cultured to investigate cell signaling in vitro. Here, we report that L‐OHP‐induced mechanical pain in mice with significant MMP‐9/2 activation in dorsal root ganglion (DRG) neurons. MMP‐9 inhibition or knockout alleviated the occurrence of CIPN directly. MMP‐9/2 were released from macrophages and neurons in the DRG via the HMGB‐1‐toll‐like receptor 4 (TLR4)‐phosphatidylinositol 3‐kinase (PI3K)/protein kinase B (Akt) axis, because MMP‐9/2 activities could be reduced by macrophage scavengers or PI3Kγ knockout in CIPN mice. The in vitro data revealed that induced MMP‐9 activity by recombinant HMGB‐1 could be abolished by TLR4, PI3K or Akt inhibitors. Finally, it was shown that N‐acetyl‐cysteine (NAC) could reduce MMP‐9/2 activities and attenuate CIPN effectively and safely. The HMGB‐1‐TLR4‐PI3K/Akt‐MMP‐9 axis is involved in the crosstalk between macrophages and neurons in the pathological process of CIPN in mice. Direct inhibition of MMP‐9 by NAC may be a potential therapeutic regimen for CIPN treatment.
What's new?
Chemotherapy‐induced peripheral neuropathy (CIPN) is a common complication of cancer chemotherapy associated with cold and mechanical hypersensitivity. The mechanisms of CIPN remain unclear, although inflammation‐induced peripheral sensitization is an important factor. This study reveal that matrix metalloproteinases (MMP)‐9/2, especially MMP‐9, play important roles in the induction of CIPN. The data demonstrate the role of the HMGB‐1‐TLR4‐PI3K/Akt‐MMP‐9 axis in the crosstalk between macrophages and neurons in CIPN mice and highlight MMP‐9 as a promising target for the development of CIPN therapeutic drugs. The study also provides first evidence that N‐acetylcysteine, a well‐known expectorant, attenuates CIPN via potent inhibition of MMP‐9 activity.
In this article, we investigate a class of measure differential inclusions of evolution type involving non-autonomous operator with nonlocal condition defined on the half-line. By fixed point ...theorem, we first obtain some sufficient conditions to ensure the solution set is nonempty, compact, and
-set on compact interval. Subsequently, by means of the inverse limit method, we generalize the results on compact interval to noncompact interval. Finally, an example is given to demonstrate the effectiveness of obtained results.
This paper investigates the consensus-based formation control problem for multi-agent systems with unknown nonlinear dynamics. To achieve the desired formation, we propose two formation controllers ...to achieve the desired formation, one based on system states and the other on system outputs. The proposed controllers utilize adaptive gains to avoid global information and neural networks to estimate and compensate for nonlinearities. The proposed event-triggered schemes avoid continuous communication among agents and exclude the Zeno behavior. Stability analysis reveals that formation errors are bounded, and numerical simulations are used to validate the effectiveness of the proposed approaches.
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