Geodesic
An estimate for the first eigenvalue of the Dirichlet problem for an ordinary differential equation with fractional derivatives with different origins
News of the Kabardin-Balkar scientific center of RAS, no. 1 (2017), pp. 34-40

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We study the Dirichlet problem for an ordinary linear differential equation of fractional order. The principal differential part of the equation is the composition of Riemann-Liouville and Caputo fractional derivatives with the different origins. In the paper, we found a lower-bound estimate for the first eigenvalue of the problem.
Keywords: fractional derivative, Riemann-Liouville derivative, Caputo derivative, Dirichlet problem, eigenvalue. 
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     author = {Eneyeva L. M.},
     title = {An estimate for the first eigenvalue of the {Dirichlet} problem for an ordinary differential equation with fractional derivatives with different origins},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {34--40},
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Eneyeva L. M. An estimate for the first eigenvalue of the Dirichlet problem for an ordinary differential equation with fractional derivatives with different origins. News of the Kabardin-Balkar scientific center of RAS, no. 1 (2017), pp. 34-40. http://geodesic.mathdoc.fr/item/IZKAB_2017_1_a5/