Boundary problems for mixed parabolic-hyperbolic equations with two lines of changing type and fractional derivative

Boundary problems for mixed parabolic-hyperbolic equations with two lines of changing type and fractional derivative

In this article, we study a boundary value problem for a parabolic-hyperbolic equation with Caputo fractional derivative. Under certain conditions, we prove its unique solvability using methods of integral equations and Green's functions.

Bibliographic Details
Main Author: Bakhtiyor Kadirkulov
Format: Article
Language:English
Published: Texas State University 2014-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Parabolic-hyperbolic equation
Tricomi problem
Caputo fractional derivative
diffusion equation
Green's function
Volterra integral equation
Online Access:http://ejde.math.txstate.edu/Volumes/2014/57/abstr.html
Description
Summary:In this article, we study a boundary value problem for a parabolic-hyperbolic equation with Caputo fractional derivative. Under certain conditions, we prove its unique solvability using methods of integral equations and Green's functions.
ISSN:1072-6691

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