Transmutation Operators for Eigenfunctions of Certain Differentiation Operators and Their Fractional Powers

A. V. Dzarakhokhov

Gorsky State Agrarian University, Vladikavkaz, 362040, Russia

Аннотация: Differential operators of integer and fractional order and their eigenfunctions are considered. Transmutation operators relating eigenfunctions of these differential operators are constructed, which can be used to solve Sturm–Liouville problems for equations containing the differential operators under consideration.

Ключевые слова: transmutation operator, eigenfunction, Riemann–Liouville fractional derivative, Bessel fractional derivative, Mittag-Leffler function, Fox–Wright function.

Поступило: 22.03.2022
Исправленный вариант: 05.05.2022

Язык публикации: английский

 Англоязычная версия: Mathematical Notes, 2023, 114:6, 1184–1194

Реферативные базы данных:

•