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Browsing by Issue Date, starting with "2021-06-10"

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  • Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation
    Publication . Ferreira, M.; Rodrigues, M. Manuela; Vieira, Nelson
    In this paper, we consider a non-homogeneous time-space-fractional telegraph equation in n-dimensions, which is obtained from the standard telegraph equation by replacing the first- and second-order time derivatives by Caputo fractional derivatives of corresponding fractional orders, and the Laplacian operator by a fractional Sturm-Liouville operator defined in terms of right and left fractional Riemann-Liouville derivatives. Using the method of separation of variables, we derive series representations of the solution in terms of Wright functions, for the homogeneous and non-homogeneous cases. The convergence of the series solutions is studied by using well known properties of the Wright function. We show also that our series can be written using the bivariate Mittag-Leffler function. In the end of the paper, some illustrative examples are presented.
    2021-06-10Journal article Open access Show more
  • Did You Enjoy It? The Role of Intensity-Trait Preference/Tolerance in Basic Psychological Needs and Exercise Enjoyment
    Publication . Teixeira, Diogo S.; Rodrigues, Filipe; Machado, Sergio; Cid, Luis; Monteiro, Diogo
    Promoting exercise regimens that aim at enhancing the quality of individuals’ subjective exercise experience can be challenging. Given the recent theoretical contributions regarding the possible interaction of exercise intensity-traits and several motivational variables, as well as their potential value for exercise adherence, the objective of this study was to examine the mediation role of basic psychological needs in the relationship between preference for and tolerance of exercise intensity and enjoyment. This cross-sectional study comprised a total of 160 exercisers (Mage = 34.12, SD = 9.23, 73 males) enrolled in several health clubs. All analyses were performed using SPSS v. 23.0/PROCESS v. 3.4. The results indicate that intensity-traits presented positive associations with enjoyment, and negative associations with all of needs frustration variables. A mediation role of needs frustration emerged in the intensity traits and enjoyment associations that was analyzed according to relatable theoretical considerations
    2021-06-10Journal article Open access Show more