Solution of the Cauchy Problem for One Degenerate Equation with the Dzhrbashyan–Nersesyan Fractional Derivative-Reference-Cited by-同舟云学术

Solution of the Cauchy Problem for One Degenerate Equation with the Dzhrbashyan–Nersesyan Fractional Derivative

Published:2023-12-15 Issue:12 Volume:59 Page:1715-1717
ISSN:0374-0641
Container-title:Дифференциальные уравнения
language:
Short-container-title:Differencialʹnye uravneniâ

Author:

Irgashev B. Yu.¹²

Affiliation:

1. Namangan Institute of Engineering and Construction

2. Romanovskii Institute of Mathematics, Uzbekistan Academy of Sciences

Abstract

A solution of the Cauchy problem is obtained for one degenerate equation withthe Dzhrbashyan–Nersesyan fractional derivative, particular solutions of which are representedusing the Kilbas–Saigo function.

Publisher

The Russian Academy of Sciences

Reference9 articles.

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3. Самко С.Г., Килбас А.А., Маричев О.И. Интегралы и производные дробного порядка и некоторые их приложения. Минск, 1987.

4. Oldham К.В., Spanier J. The Fractional Calculus. New York; London, 1974.

5. Wiener K. On solutions of a differential equation of nonintegral order that occurs in the theory of polarography // Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math.-Natur. Reiche. 1983. V. 32. № 1. P. 41-46.