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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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. 
@article{BASS_2007_32_1_a4,
     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},
     pages = {59 - 67},
     year = {2007},
     volume = {32},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a4/}
}
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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/