Geodesic
A method to solve an equation with left and right fractional derivatives
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1.

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

We give a procedure to find a solution to the equation $D^{\alpha } _{b^{-}} D^{\alpha }_{0^{+}} y(x) + mD^{\alpha } _{0^{+}} D^{\alpha }_{b^{-}} y = C_{0}(x), \; 0 x b, \; 0 \alpha 1,$ solving the corresponding Fredholm integral equation of the second kind. 
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     author = {B. Stankovi\'c},
     title = {A method to solve an equation with left and right fractional derivatives},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
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B. Stanković. A method to solve an equation with left and right fractional derivatives. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1. http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a4/