Geodesic
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

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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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     author = {L. M. \`Eneeva},
     title = {Solution of a mixed boundary value problem for an equation with fractional derivatives with different origins},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {64--71},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2022_40_3_a5/}
}
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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/