Special Functions as Solutions to the Euler–Poisson–Darboux Equation with a Fractional Power of the Bessel Operator

In this paper, we consider fractional ordinary differential equations and the fractional Euler–Poisson–Darboux equation with fractional derivatives in the form of a power of the Bessel differential operator. Using the technique of the Meijer integral transform and its modification, fundamental solut...

Ausführliche Beschreibung

Bibliografische Detailangaben

Hauptverfasser:	Azamat Dzarakhohov, Yuri Luchko, Elina Shishkina
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	MDPI AG 2021-06-01
Schriftenreihe:	Mathematics
Schlagworte:	Fox–Wright function H-function fractional powers of the Bessel operator fractional Euler–Poisson–Darboux equation fractional ODE Meijer integral transform
Online-Zugang:	https://www.mdpi.com/2227-7390/9/13/1484
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