Solution of a mixed boundary value problem for an equation with fractional derivatives with different origins
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 40 (2022) no. 3, pp. 64-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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A solution of a mixed boundary value problem for an ordinary differential equation of fractional order is constructed. The main part of the equation is a composition of left- and right-hand Riemann-Liouville and Caputo fractional differentiation operators. A representation of the solution of the problem under study is found, and an estimate for the eigenvalues is also obtained.
Keywords: fractional differential equation with different origins, mixed boundary value problem, Riemann-Liouville derivative, Caputo derivative.
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L. M. Èneeva. Solution of a mixed boundary value problem for an equation with fractional derivatives with different origins. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 40 (2022) no. 3, pp. 64-71. http://geodesic.mathdoc.fr/item/VKAM_2022_40_3_a5/

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