Geodesic
On the formal representation of solutions of differential equations of fractional order
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 524-530

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The paper presents a formal representation of solutions of non-scalar semilinear differential equations in Banach spaces by means of the Mittag-Leffler function.
Keywords: differential equation, Mittag-Leffler function, gamma function, Banach Space. 
@article{VTAMU_2018_23_123_a22,
     author = {G. Petrosyan},
     title = {On the formal representation of solutions of differential equations of fractional order},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {524--530},
     publisher = {mathdoc},
     volume = {23},
     number = {123},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a22/}
}
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G. Petrosyan. On the formal representation of solutions of differential equations of fractional order. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 524-530. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a22/