THE APPLICATION OF INTEGRAL TRANSFORMS TO SOLVING PARTIAL DIFFERENTIAL EQUATIONS OF THE FRACTIONAL ORDER


Abstract eng:
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 for t time and finite sine transform for x displacement.

Contributors:
Publisher:
Brno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
Conference Title:
Conference Title:
Engineering Mechanics 2017
Conference Venue:
Svratka, CZ
Conference Dates:
2017-05-15 / 2017-05-18
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2017-05-22, last modified 2017-05-22


Original version of the author's contribution in proceedings, page 150, section MCT.:
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