Initial-boundary problem for degenerate high order equations with fractional derivative

TL;DR

This paper investigates a mixed initial-boundary value problem for a degenerate high-order differential equation involving fractional derivatives, establishing the existence and uniqueness of solutions using spectral methods.

Contribution

It introduces a novel approach to solving degenerate high-order equations with fractional derivatives, proving existence and uniqueness via spectral techniques.

Findings

Existence of solutions is proven.

Uniqueness of solutions is established.

Spectral method effectively applied to fractional degenerate equations.

Abstract

The mixed problem for a degenerate high order equation with a fractional derivative in a rectangular domain is considered in the article. The existence of a solution and its uniqueness are shown by the spectral method.