Article

    Ufa Mathematical Journal
    Volume 9, Number 4, pp. 114-126

    Dirichlet boundary value problem in half-strip for fractional differential equation with Bessel operator and Riemann-Liouville partial derivative


    Khushtova F.G.

    DOI:10.13108/2017-9-4-114

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    We study the first boundary value problem in the half-strip for a differential equation with Bessel operator and partial derivative of Riemann-Liouville. The representation of the solution in the case of the zero side condition found in terms of the integral transform with the Wright's function at the kernel. Uniqueness of the solution is proved in the class of functions that satisfy the analogue of Tikhonov's condition.