Preprint

A boundary problem with integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional derivative

Erkinjon Karimov National Univ. of Uzbekistan, Tashkent, Uzbekistan J. S. Akhatov Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

arXiv (Cornell University)repository2013en

ABI

Annotatsiya

In the present work we investigate the Tricomi problem with integral gluing condition for parabolic-hyperbolic equation with the Caputo fractional order derivative. Using the method of energy integrals we prove the uniqueness of the solution for considered problem. The existence will be proved using methods of ordinary differential equations, Fredholm integral equations and solution will be represented in an explicit form.

Mavzular

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Fractional Differential Equations Solutions

Identifikatorlar

DOI: 10.48550/arxiv.1305.4992

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