Geodesic
About an estimate from above of the fractional derivative of the composition of two functions
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 261-267

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In the paper, an estimate from above of the fractional Riemann–Liouville derivative of an order $\alpha \in (0, 1)$ of the composition of two functions is proved for the case when the inner function is assumed only to be represented by the fractional Riemann–Liouville integral of a measurable essentially bounded function. The necessity of such an estimate arises in control problems of dynamical systems described by differential equations with fractional derivatives
Keywords: fractional Riemann-Liouville derivative, derivative of the composition of two functions, Lyapunov function. 
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     author = {M. I. Gomoyunov},
     title = {About an estimate from above of the fractional derivative of the composition of two functions},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {261--267},
     publisher = {mathdoc},
     volume = {23},
     number = {122},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a17/}
}
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M. I. Gomoyunov. About an estimate from above of the fractional derivative of the composition of two functions. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 261-267. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a17/