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Solution in Closed Form of Boundary Value Problem for Degenerate Equation of Hyperbolic Typ
Anatoly A. Kilbas ...et al KYUNGPOOK UNIVERSITY 1996 Kyungpook mathematical journal Vol.36 No.2
The paper deals with a boundary value problem for a partial differential equation ofhyperbolic type with boundary conditions involving generalized fractional integrals andderivatives with the Gauss hypergeometric function in the kernel. By using the propertiesof the fractional calculus operators in Hölder spaces it is shown that this problem canbe reduced to a singular integral equation with the Cauchy kernel, and its solvabilityconditions and a solution in a closed form are given.