Subordination in a class of generalized time-fractional diffusion-wave equations
作者： Bazhlekova Emilia
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摘要: Motivated by recently proposed generalizations of the diffusion-wave equation with the Caputo time fractional derivative of order α∈(1, 2), in the present survey paper a class of …
sci-hub.se 参考文章(110)
Teodor M. Atanacković, Stevan Pilipović, Bogoljub Stanković, Dušan Zorica, Fractional calculus with applications in mechanics : vibrations and diffusion processes ISTE, Wiley. ,(2014) , 10.1002/9781118577530
J. J. Trujillo, H. M. Srivastava, A. A. Kilbas, Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) Elsevier Science Inc.. ,(2006)
Michele Caputo, Mean fractional-order-derivatives differential equations and filters Annali Dell'universita' Di Ferrara. ,vol. 41, pp. 73- 84 ,(1995) , 10.1007/BF02826009
Yuriy A. Rossikhin, Marina V. Shitikova, Analysis of rheological equations involving more than one fractional parameters by the use of the simplest mechanical systems based on these equations Mechanics of Time-dependent Materials. ,vol. 5, pp. 131- 175 ,(2001) , 10.1023/A:1011476323274
Francesco Mainardi, Anatoly A. Kilbas, Rudolf Gorenflo, Sergei V. Rogosin, Mittag-Leffler Functions, Related Topics and Applications ,(2014)
Mark M. Meerschaert, Bruno Toaldo, Relaxation patterns and semi-Markov dynamics Stochastic Processes and their Applications. ,vol. 129, pp. 2850- 2879 ,(2019) , 10.1016/J.SPA.2018.08.004
Jan Prüss, Evolutionary integral equations and applications ,(1993)
Francesco Mainardi, Rudolf Gorenflo, Fractional Calculus: Integral and Differential Equations of Fractional Order arXiv: Mathematical Physics. ,(2008)
Yasuhiro Fujita, Integrodifferential equation which interpolates the heat equation and the wave equation Osaka Journal of Mathematics. ,vol. 27, pp. 309- 321 ,(1990) , 10.18910/4060
EG Emilia Bazhlekova, Fractional evolution equations in Banach spaces Technische Universiteit Eindhoven. ,(2001) , 10.6100/IR549476