Geodesic
A priori estimate for an equation with fractional derivatives with different origins
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 29 (2019) no. 4, pp. 41-47

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We consider an ordinary differential equation of fractional order with the composition of leftand right-sided fractional derivatives, and with variable potential. The considered equation is a model equation of motion in fractal media. We prove an a priori estimate for solutions of a mixed two-point boundary value problem for the equation under study.
Keywords: Riemann-Liouville fractional derivative, Caputo fractional derivative, boundary value problem, a priori estimate. 
@article{VKAM_2019_29_4_a4,
     author = {Liana M. \`Eneeva},
     title = {A priori estimate for an equation with fractional derivatives with different origins},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {41--47},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2019_29_4_a4/}
}
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Liana M. Èneeva. A priori estimate for an equation with fractional derivatives with different origins. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 29 (2019) no. 4, pp. 41-47. http://geodesic.mathdoc.fr/item/VKAM_2019_29_4_a4/