Purpose: The early identification of oropharyngeal dysphagia (OD) in patients after an acute stroke using non-invasive and easily administered instruments can minimize its consequences and reduce comorbidity and morta...
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In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular s...
In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem.
Partition problems in graphs are extremely important in applications, as shown in the Data science and Machine learning literature. One approach is spectral partitioning based on a Fiedler vector, i.e., an eigenvector...
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Complete orthogonal systems of monogenic polynomials over 3D prolate spheroids have been previously introduced and shown to have some important properties. In particular, the underlying functions take on values in the...
Complete orthogonal systems of monogenic polynomials over 3D prolate spheroids have been previously introduced and shown to have some important properties. In particular, the underlying functions take on values in the quaternion algebra (identified with R4 ), and are nullsolutions of the well known Moisil-Théodoresco system. In this paper we introduce a new complete orthogonal system of monogenic polynomials as solutions of this system for the space exterior to 3D prolate spheroids. Additionally, we show how monogenic polynomials for the interior and exterior of a spheroid look like once their values on the surface are prescribed. With the help of these polynomials an explicit expression of the monogenic Szegö kernel function over the surface of 3D spheroids is given.
Recent trends in Lisbon's winter tourism indicate a shift towards off-peak travel, attracting diverse visitors with its rich cultural heritage, sustainable initiatives, and extended stay options for digital nomads...
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We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes. A stochasti...
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Starting with a symmetric monoidal adjunction with certain properties, we derive another symmetric monoidal adjunction with the same properties between the respective categories of all V-categories. If we begin with a...
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In this paper a nonlinear positive control law is proposed for reference tracking in multi-input positive systems. This law proves to have a good performance in the control of the depth of anesthesia (DoA) by means of...
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We introduce the definitions of observer, conditioned invariance and detectability subspaces for discrete multidimensional behavioral systems, based on our previous work for the continuous 1D case, as a step forward i...
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We introduce the definitions of observer, conditioned invariance and detectability subspaces for discrete multidimensional behavioral systems, based on our previous work for the continuous 1D case, as a step forward in the attempt to develop a geometric theory for nD behaviors.
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