Geodesic
Third Boundary-Value Problem in the Half-Strip for the $B$-Parabolic Equation
Matematičeskie zametki, Tome 109 (2021) no. 2, pp. 290-301

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The third boundary-value problem in the half-strip for a partial differential equation with Bessel operator is studied. Existence and uniqueness theorems are proved. The representation of the solution is found in terms of the Laplace convolution of the exponential function and Mittag-Leffler type function with power multipliers. Uniqueness is proved for the class of bounded functions.
Keywords: Bessel operator, Mittag-Leffler type function, third boundary-value problem.
Mots-clés : anomalous diffusion, $B$-parabolic equation 
@article{MZM_2021_109_2_a11,
     author = {F. G. Khushtova},
     title = {Third {Boundary-Value} {Problem} in the {Half-Strip} for the $B${-Parabolic} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {290--301},
     publisher = {mathdoc},
     volume = {109},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_2_a11/}
}
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F. G. Khushtova. Third Boundary-Value Problem in the Half-Strip for the $B$-Parabolic Equation. Matematičeskie zametki, Tome 109 (2021) no. 2, pp. 290-301. http://geodesic.mathdoc.fr/item/MZM_2021_109_2_a11/