Particular solutions of a certain class of associated Cauchy-Euler fractional partial differential equations via fractional calculus

DOI10.1186/1687-2770-2013-126zbMath1297.35275OpenAlexW2158226388WikidataQ59300519 ScholiaQ59300519MaRDI QIDQ2251105

Chia-Hung Lu, Shy-Der Lin, Shou-Mei Su

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-126

zbMATH Keywords

analytic functionfractional calculusfractional partial differential equationsgeneralized Leibniz ruleindex lawlinearity property

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fractional partial differential equations (35R11)

Related Items (1)

AN OPERATOR-BASED APPROACH FOR THE CONSTRUCTION OF CLOSED-FORM SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

Cites Work

• Some fractional differintegral equations
• The fundamental solutions for the fractional diffusion-wave equation
• Cauchy problem for fractional diffusion equations
• Fractional diffusion and wave equations
• Some families of series identities and associated fractional differintegral formulas
• Some families of ordinary and partial fractional differintegral equations

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