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

DOI10.1007/S13540-022-00045-ZzbMath1503.34014OpenAlexW4281704795WikidataQ114017011 ScholiaQ114017011MaRDI QIDQ2110521

P. B. Dubovskij, Jeffrey Slepoi

Publication date: 21 December 2022

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

Full work available at URL: https://doi.org/10.1007/s13540-022-00045-z

zbMATH Keywords

existencefractional calculusfractional differential equationsMittag-Leffler functionsfractional power seriesblow-up of solutionsCauchy-Euler equationsconstant-coefficient equationsquasi-Bessel equationsquasi-Euler equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Cites Work

• Solving homogeneous fractional differential equations of Euler type
• An operational approach with application to fractional Bessel equation
• Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
• The fractional Bessel equation in Hölder spaces
• Analysis of solutions of some multi-term fractional Bessel equations
• On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• Cauchy problems for some classes of linear fractional differential equations
• A note on fractional Bessel equation and its asymptotics
• Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives
• Operational Calculus for Bessel’s Fractional Equation
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