A theorem on the existence of symmetries of fractional PDEs

Comptes Rendus Mathematique

Volumn 352, Issue 3, 2014, Pages 219-222

  Leo, Rosario Antonio ^a   Sicuro, Gabriele ^b   Tempesta, Piergiulio ^c,d  

^a UNIVERSITY OF SALENTO   (Italy)

^b UNIVERSITY OF PISA   (Italy)

^c UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^d INSTITUTO DE CIENCIAS MATEMÁTICAS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84894246587     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2013.11.007     Document Type: Article

References (8)

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3. Gazizov R.K., Kasatkin A.A., Lukashchuk S.Y. Group-invariant solutions of fractional differential equations. Nonlinear Science and Complexity 2011, 51-58. Springer. J.A.T. Machado, A.C.J. Luo, R.S. Barbosa, M.F. Silva, L.B. Figueiredo (Eds.).
4. Gorenflo R., Luchko Yu., Mainardi F. Wright functions as scale-invariant solutions of the diffusion-wave equation. J. Comput. Appl. Math. 2000, 11:175-191.
5. Luchko Yu., Gorenflo R. Scale-invariant solutions of a partial differential equation of fractional order. Fract. Calc. Appl. Anal. 1998, 1:63-78.
6. Olver P.J. Applications of Lie Groups to Differential Equations 1986, Springer.
7. Osler T.J. Leibniz rule for fractional derivatives generalized and an application to infinite series. SIAM J. Appl. Math. 1970, 18(3):658-674.
8. Samko S.G., Kilbas A.A., Marichev O.I. Fractional Integrals and Derivatives. Theory and Applications 1993, Gordon and Breach Science Publishers.