|
![](images/pix01.gif) |
|
|
|
Existence of Solution to Dirichlet Problem for Generalized Lavrent’ev-Bitsadze Equation with a Fractional Derivative |
|
PP: 239-244 |
|
doi:10.18576/pfda/060307
|
|
Author(s) |
|
Masaeva Olesya Khazhismelovna,
|
|
Abstract |
|
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.
|
|
|
![](images/pix01.gif) |
|
|