Geodesic
On the solutions of some differential equations of fractional order
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1989), pp. 3-9 
B. A. Sahakyan. On the solutions of some differential equations of fractional order. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1989), pp. 3-9. http://geodesic.mathdoc.fr/item/UZERU_1989_2_a0/
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     author = {B. A. Sahakyan},
     title = {On the solutions of some differential equations of fractional order},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper differential equations of $D^{1/\rho}_{\infty}+\lambda y=f(x)$ type fractional order are discussed, where $\lambda>0,~\rho\geq 1,~ D^{1/\rho}_{\infty}$ is Veil’s operator. For $f(x)$ functions of some classes Cauchy type problem is produced and solved.

[1] M. M. Dzhrbashyan, “Rasshirenie kvazianaliticheskikh klassov Danzhua–Karlemana”, Izv. AN Arm. SSR, Matematika, 3:4 (1968), 171–248 | Zbl

[2] B. A. Saakyan, “Ob odnoi formule obrascheniya "preobrazovaniya tipa svertki””, Respublikanskaya nauchno-prakticheskaya konferentsiya po metodike prepodavaniya matematiki i mekhaniki v vuze (Tezisy dokl.), Erevan

[3] M. M. Dzhrbashyan, Integralnye preobrazovaniya i predstavlenie funktsii v kompleksnoi oblasti, Nauka, M., 1966