Srivastava, H. M.; Jena, Rajarama Mohan; Chakraverty, Snehashish; Jena, Subrat Kumar Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads. (English) Zbl 1440.65272 Russ. J. Math. Phys. 27, No. 2, 254-268 (2020). MSC: 65N99 26A33 35R11 74F10 74K20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Naim, Mouhcine; Lahmidi, Fouad; Namir, Abdelwahed Output controllability and optimal output control of positive fractional order linear discrete system with multiple delays in state, input and output. (English) Zbl 1461.93040 J. Appl. Anal. Comput. 9, No. 6, 2169-2189 (2019). Reviewer: Krzysztof Gałkowski (Zielona Gora) MSC: 93B05 93B03 93C55 93C05 26A33 34K35 × Cite Format Result Cite Review PDF Full Text: DOI
Jonnalagadda, Jaganmohan Analysis of a system of nonlinear fractional nabla difference equations. (English) Zbl 1333.39008 Int. J. Dyn. Syst. Differ. Equ. 5, No. 2, 149-174 (2015). Reviewer: Antonio Linero Bas (Murcia) MSC: 39A12 39A10 34A08 34A12 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Uchaikin, Vladimir V. Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications. (English) Zbl 1312.26002 Nonlinear Physical Science. Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-33910-3/hbk; 978-3-642-33911-0/ebook; 978-7-04-032235-4/v.1; 978-7-04-030734-4/v.2). xii, 385 p./Vol. 1; xi, 446 p./Vol. 2. (2013). Reviewer: S. L. Kalla (Jodhpur) MSC: 26-01 26A33 00A06 × Cite Format Result Cite Review PDF Full Text: DOI
Drapaca, C. S.; Sivaloganathan, S. A fractional model of continuum mechanics. (English) Zbl 1451.74219 J. Elasticity 107, No. 2, 105-123 (2012). MSC: 74S40 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Saha Ray, S. On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation. (English) Zbl 1359.65314 Appl. Math. Comput. 218, No. 9, 5239-5248 (2012). MSC: 65T60 26A33 34A08 45J05 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, A. M. A.; Saleh, M. M.; Ziada, E. A. A. Analytical and numerical solution of multi-term nonlinear differential equations of arbitrary orders. (English) Zbl 1204.34006 J. Appl. Math. Comput. 33, No. 1-2, 375-388 (2010). Reviewer: Tenali Gnana Bhaskar (Melbourne) MSC: 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Virchenko, N. O.; Ribak, V. Ya. Fundamentals of fractional integrodifferentiation. (Основи дробового інтегро-диференціювання.) (Ukrainian) Zbl 1224.26024 Kyïv: TOV “Zadruga” (ISBN 978-966-432-011-2). 362 p. (2007). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 26A33 26-01 33-01 45-01 30C45 34A12 34B30 34A25 35A22 45J05 44A10 × Cite Format Result Cite Review PDF
Saha Ray, S.; Bera, R. K. Analytical solution of the Bagley-Torvik equation by Adomian decomposition method. (English) Zbl 1109.65072 Appl. Math. Comput. 168, No. 1, 398-410 (2005). MSC: 65L99 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Agrawal, Om Prakash Response of a diffusion-wave system subjected to deterministic and stochastic fields. (English) Zbl 1045.35116 ZAMM, Z. Angew. Math. Mech. 83, No. 4, 265-274 (2003). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 35S15 26A33 35L05 35R60 37H10 60H15 65C30 × Cite Format Result Cite Review PDF Full Text: DOI
Hafez, Fathy M.; El-Sayed, Ahmed M. A.; El-Tawil, Magdy A. On a stochastic fractional calculus. (English) Zbl 1034.60054 Fract. Calc. Appl. Anal. 4, No. 1, 81-90 (2001). Reviewer: Kun Soo Chang (Seoul) MSC: 60H05 26A33 × Cite Format Result Cite Review PDF