# Construction of a fundamental system of solutions for a degenerate equation with a fractional derivative of Dzhrbashyan-Nersesyan

## TL;DR

This paper develops a general solution for a degenerate differential equation involving Dzhrbashyan-Nersesyan fractional derivatives, utilizing Kilbas-Saigo functions to express particular solutions.

## Contribution

It introduces a method to construct solutions for degenerate equations with Dzhrbashyan-Nersesyan fractional derivatives using special functions.

## Key findings

- General solution constructed for the degenerate fractional equation.
- Particular solutions expressed via Kilbas-Saigo functions.
- Advances understanding of fractional differential equations with degeneracy.

## Abstract

The article constructs a general solution of a degenerate equation with a fractional derivative of Dzhrbashyan-Nersesyan. Particular solutions are presented through the Kilbas-Saigo function.