Analysis of solutions of some multi-term fractional Bessel equations

DOI10.1515/FCA-2021-0059zbMath1498.34021arXiv2112.13516OpenAlexW4200418092MaRDI QIDQ2059220

P. B. Dubovskij, Jeffrey Slepoi

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/2112.13516

zbMATH Keywords

existenceuniquenesscharacteristic equationfractional power seriesthreshold valuegeneralized fractional Bessel equationlogarithmic fractional series

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fractional ordinary differential equations (34A08)

Related Items (4)

On linear fractional differential equations with variable coefficients ⋮ Existence, uniqueness and asymptotic behavior of solutions to two-term fractional differential equations ⋮ Existence for partial differential equations with fractional Cauchy-Euler operator ⋮ Construction and analysis of series solutions for fractional quasi-Bessel equations

Cites Work

• An operational approach with application to fractional Bessel equation
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• Solutions of fractional multi-order integral and differential equations using a Poisson-type transform
• Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• A note on fractional Bessel equation and its asymptotics
• Zeros of the digamma function and its BarnesG-function analogue
• Operational Calculus for Bessel’s Fractional Equation
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