Geodesic
A general method to solve fractional differential equations on $R$
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 35 (2010) no. 1

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Linear differential equations with constant coefficients and Riemann-Liouville fractional derivatives defined on the real axis are analysed in a subspace of tempered distributions. This method can also give the classical solutions. 
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     author = {B. Stankovi\'c},
     title = {A general method to solve fractional  differential  equations on $R$},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {49 - 63},
     publisher = {mathdoc},
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}
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B. Stanković. A general method to solve fractional  differential  equations on $R$. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 35 (2010) no. 1. http://geodesic.mathdoc.fr/item/BASS_2010_35_1_a3/