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[60780] Artykuł: The application of integral transforms to solving partial differential equations of the fractional orderCzasopismo: 23rd International Conference ENGINEERING MECHANICS 2017 Strony: 150-153ISSN: 1805-8248 ISBN: 978-80-214-5497-2 Wydawca: ACAD SCI CZECH REPUBLIC, INST THERMOMECHANICS, DOLEJSKOVA 5, PRAGUE 8, 182 00, CZECH REPUBLIC Opublikowano: 2017 Seria wydawnicza: Engineering Mechanics Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Materiały z konferencji międzynarodowej (zarejestrowane w Web of Science) Punkty MNiSW: 15 Klasyfikacja Web of Science: Proceedings Paper Web of Science Keywords: Integral Transform  Fractional Wave Equation  Caputo Fractional Derivative  Mittag-Leffler Function  |
The authors presented a description of the mathematical model of the string vibrations with the use of a partial differential equation of the fractional order. They applied the Caputo fractional derivative in their deliberations. The following integral transforms were used in order to solve this problem: the Laplace transform fort time and finite sine transform for x displacement.