\(q\)-fractional calculus for Rubin's \(q\)-difference operator

DOI10.1186/1687-1847-2013-276zbMath1375.39018OpenAlexW2118079485WikidataQ59298621 ScholiaQ59298621MaRDI QIDQ1682365

Zeinab Si Mansour

Publication date: 30 November 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-276

zbMATH Keywords

\(q^2\)-Fourier transformfractional \(q\)-diffusion equationfractional \(q\)-integral operatorHahn's \(q\)-Laplace transformRubin's \(q\)-difference operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Discrete version of topics in analysis (39A12) Fractional partial differential equations (35R11)

Cites Work

• \(q\)-fractional calculus and equations
• Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations
• A \(q^ 2\)-analogue operator for \(q^ 2\)-analogue Fourier analysis
• On the use of Mellin transform to a class of \(q\)-difference-differential equations
• The \textit{q-j}\(_\alpha\) Bessel function
• Inverse operators, \(q\)-fractional integrals, and \(q\)-Bernoulli polynomials
• Duhamel solutions of non-homogeneous $q^2$-analogue wave equations
• On q-Analogues of the Fourier and Hankel Transforms
• Some Fractional q-Integrals and q-Derivatives
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(q\)-fractional calculus for Rubin's \(q\)-difference operator