English

Finding a General Solution to a Degenerate Equation with a Fractional Derivative

Analysis of PDEs 2023-02-15 v2

Abstract

In the article, a general solution of an equation with a generalized Hilfer derivative, which has a degeneration, is constructed. Particular solutions are presented through the Kilbas-Saigo function. A representation of the solution of the initial problem of the type of the Cauchy problem is obtained.

Keywords

Cite

@article{arxiv.2302.06345,
  title  = {Finding a General Solution to a Degenerate Equation with a Fractional Derivative},
  author = {B. Yu. Irgashev},
  journal= {arXiv preprint arXiv:2302.06345},
  year   = {2023}
}

Comments

in Russian language

R2 v1 2026-06-28T08:38:44.683Z