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

Abstract

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.

Topics

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

Identifiers

DOI: 10.48550/arxiv.1305.4992

Citations and references

Cited by 110 references

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