000021252 001__ 21252
000021252 005__ 20170522124345.0
000021252 04107 $$aeng
000021252 046__ $$k2017-05-15
000021252 100__ $$aBlasiak, M.
000021252 24500 $$aTHE APPLICATION OF INTEGRAL TRANSFORMS TO SOLVING PARTIAL DIFFERENTIAL EQUATIONS OF THE FRACTIONAL ORDER

000021252 24630 $$n23.$$pEngineering Mechanics 2017
000021252 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021252 506__ $$arestricted
000021252 520__ $$2eng$$aThe 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.

000021252 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021252 653__ $$aIntegral Transform, Fractional Wave Equation, Caputo Fractional Derivative, MittagLeffler Function.

000021252 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021252 720__ $$aBlasiak, M.$$iBlasiak, S.
000021252 8560_ $$ffischerc@itam.cas.cz
000021252 8564_ $$s722535$$uhttps://invenio.itam.cas.cz/record/21252/files/0150.pdf$$yOriginal version of the author's contribution in proceedings, page 150, section MCT.
000021252 962__ $$r21225
000021252 980__ $$aPAPER