We will present an invertibility characterization for Wiener‐Hopf plus and minus Hankel operators having (possibly) different Fourier symbols in the class of almost periodic functions within the context of Besicovitc...
We will present an invertibility characterization for Wiener‐Hopf plus and minus Hankel operators having (possibly) different Fourier symbols in the class of almost periodic functions within the context of Besicovitch spaces. Additionally, we will obtain a criterion for the one‐sided invertibility of corresponding Wiener‐Hopf plus and minus Hankel operators, considering equal Fourier symbols in their Wiener‐Hopf and Hankel parts. Such characterizations will be obtained based on a so‐called generalized factorization of the associated Fourier symbols. At the end, two concrete examples are given.
We derive a new Lyapunov type inequality for a boundary value problem involving both left Riemann–Liouville and right Caputo fractional derivatives in presence of natural conditions. Application to the corresponding ...
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A discrete version of the symmetric duality of Caputo–Torres, to relate left and right Riemann–Liouville and Caputo fractional differences, is considered. As a corollary, we provide an evidence to the fact that in c...
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Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay,depending on both the time and the state *** case when the lower limit of ...
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Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay,depending on both the time and the state *** case when the lower limit of the Caputo fractional derivative is fixed at the initial time,and the case when the lower limit of the fractional derivative is changed at the end of each interval of action of the impulse are *** stability properties,based on the modified Razumikhin method are *** examples are given in this paper to illustrate the results.
作者：
Xambre, A.R.Department of Economics
Management and Industrial Engineering CIDMA Center for Research and Development in Mathematics and Applications University of Aveiro Campus de Santiago Aveiro3810-193 Portugal
When designing a Cellular Manufacturing System an essential step is to solve the cell formation problem: determining which machines and parts belong to each cell. The main purpose is to obtain autonomous cells capable...
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When designing a Cellular Manufacturing System an essential step is to solve the cell formation problem: determining which machines and parts belong to each cell. The main purpose is to obtain autonomous cells capable of completely processing the respective family of parts and thus eliminate, or at least reduce, intercellular flow. Additionally, if there is more than one machine of each type (i.e. if a certain operation can be performed in different machines) the assignment of operations to specific machines becomes part of the cell formation problem. In this paper an algorithm for the cell formation problem with multiple identical machines, which minimises the intercellular flow, is presented. The algorithm uses the information provided by an inter-operation flow matrix so the real flow, associated with each solution, can be adequately determined. Furthermore, due to the combinatorial nature of this problem, the procedure is based on genetic algorithms in order to improve the exploration of the solution space.
Lean principles and tools have been increasingly employed in companies across several sectors, with numerous successful implementations both inside and outside production environments. In the case of Portuguese compan...
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In this work we present two generalizations (see the operators I0+α,ρ,σ and I−α,ρ,σ defined below) of the classical Liouville fractional integrals. We study their boundedness as operators mapping the space ℒv,r ...
In this work we present two generalizations (see the operators I0+α,ρ,σ and I−α,ρ,σ defined below) of the classical Liouville fractional integrals. We study their boundedness as operators mapping the space ℒv,r into the spaces Lv+2+Re(α)2−2Re(ρ),r and Lv+1+−Re(ρ),r . In the end, we will apply our generalization to some particular functions.
Humans naturally engage in playful activities throughout their lives and play serves as a fundamental mechanism for cognitive development as well as the development of essential soft skills such as teamwork, decision-...
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ISBN:
(纸本)9781917204194
Humans naturally engage in playful activities throughout their lives and play serves as a fundamental mechanism for cognitive development as well as the development of essential soft skills such as teamwork, decision-making, leadership, and communication. Recognizing this innate predisposition for play, educators are increasingly embracing gamification strategies into their classrooms. More attention has been driven to digital tools such as platforms Kahoot! and Duolingo which gained popularity and demonstrated the potential of game-based learning to increase engagement and knowledge retention. However, concerns about digital screen time fuelled a renewed interest in non-digital activities, including educational games. Non-digital games are often more accessible and affordable, making them suitable for schools with limited resources. research suggests that non-digital games can effectively promote collaboration, communication, and critical thinking skills. In addition, they offer flexibility to teachers to adapt rules and scenarios to specific learning objectives and student needs. Recognizing the benefits of employing games as a pedagogical strategy, the first author of this study opted to incorporate game-based learning strategies into her classes, on a regular basis. Throughout the semester, various non-digital games were implemented, inspired on well-known classics such as memory card games, Monopoly and Pictionary. These games were carefully designed to address specific mathematics topics identified as either the most relevant or those where students revealed more difficulties. The participants in this study were pre-service pre- and primary school teachers enrolled in a maths undergraduate course. Since these students are future educators, the games served a dual purpose: improving current learning experiences and providing teaching resources for their future classrooms. At the end of the semester, a survey was conducted to evaluate students’ perceptions towar
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