Geodesic
The Second Boundary-Value Problem in a Half-Strip for a Parabolic-Type Equation with Bessel Operator and Riemann--Liouville Partial Derivative
Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 460-470

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We study the second boundary-value problem in a half-strip for a differential equation with Bessel operator and the Riemann–Liouville partial derivative. In the case of a zero initial condition, a representation of the solution is obtained in terms of the Fox $H$-function. The uniqueness of the solution is proved for the class of functions satisfying an analog of the Tikhonov condition.
Mots-clés : parabolic-type equation, fractional-order diffusion
Keywords: Bessel operator, Riemann–Liouville derivative, second boundary-value problem in a half-strip, Fox $H$-function, Tikhonov condition, integral transformation with kernel containing the Wright function. 
@article{MZM_2018_103_3_a10,
     author = {F. G. Khushtova},
     title = {The {Second} {Boundary-Value} {Problem} in a {Half-Strip} for a {Parabolic-Type} {Equation} with {Bessel} {Operator} and {Riemann--Liouville} {Partial} {Derivative}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {460--470},
     publisher = {mathdoc},
     volume = {103},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a10/}
}
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F. G. Khushtova. The Second Boundary-Value Problem in a Half-Strip for a Parabolic-Type Equation with Bessel Operator and Riemann--Liouville Partial Derivative. Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 460-470. http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a10/