On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function

DOI10.1515/FCA-2021-0065zbMath1498.34020arXiv2102.04347OpenAlexW4206924508WikidataQ115236487 ScholiaQ115236487MaRDI QIDQ2059231

Riccardo Droghei

Publication date: 13 December 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04347

zbMATH Keywords

fractional calculusspecial functionsfractional differential equationshyper-Bessel functionsfractional hyper-Bessel equationWright and Mittag-Leffler type functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Other functions coming from differential, difference and integral equations (33E30) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (1)

Construction and analysis of series solutions for fractional quasi-Bessel equations

Cites Work

• The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
• Eigenfunctions of Laguerre-type operators and generalized evolution problems
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
• Wright functions as scale-invariant solutions of the diffusion-wave equation
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Solutions of fractional multi-order integral and differential equations using a Poisson-type transform
• On solution of integral equation of Abel-Volterra type
• Explicit solutions to hyper-Bessel integral equations of second kind
• An extension of Wright function and its properties
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• On some operators involving Hadamard derivatives
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• The operational calculus of bessel operators
• The Asymptotic Expansion of the Generalized Hypergeometric Function
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