"Existence of Solution to Dirichlet Problem for Generalized Lavrent’ev-" by Masaeva Olesya Khazhismelovna

Progress in Fractional Differentiation & Applications

Article Title

Existence of Solution to Dirichlet Problem for Generalized Lavrent’ev-Bitsadze Equation with a Fractional Derivative

Authors

Masaeva Olesya Khazhismelovna, Institute of Applied Mathematics and Automation of Kabardin-Balkar Scientific Centre of RAS, Nalchik, RussiaFollow

Author Country (or Countries)

Russia

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060307

Recommended Citation

Olesya Khazhismelovna, Masaeva (2020) "Existence of Solution to Dirichlet Problem for Generalized Lavrent’ev-Bitsadze Equation with a Fractional Derivative," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 3, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/060307
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss3/7

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