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Existence of Solution to Dirichlet Problem for Generalized Lavrent’ev-Bitsadze Equation with a Fractional Derivative |
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PP: 239-244 |
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doi:10.18576/pfda/060307
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Author(s) |
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Masaeva Olesya Khazhismelovna,
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Abstract |
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| In this paper, we solve the Dirichlet problem for a linear second-order partial differential equation with the Riemann- Liouville fractional derivative. When the order of fractional differentiation is an integer, the equation under consideration transforms into a mixed equation of the Lavrent’ev-Bitsadze type. Existence theorem is proved using the Fourier method and methods of special functions theory.
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