Certain properties of generalized \(q\)-Mittag-Leffler type function and its application in fractional \(q\)-kinetic equation

DOI10.1007/S40819-022-01387-1OpenAlexW4292665507WikidataQ113895043 ScholiaQ113895043MaRDI QIDQ2674777

Yanyan Li

Publication date: 14 September 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01387-1

zbMATH Keywords

\(q\)-beta function\(q\)-gamma functionCaputo fractional \(q\)-derivative\(q\)-Sumudu transformfractional \(q\)-kinetic equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12)

Cites Work

• Variational calculus on \(q\)-nonuniform lattices
• Linear \(q\)-difference equations
• Multivariate analogue of generalized Mittag-Leffler function
• A Method for q-Calculus
• Generalized mittag-leffler function and generalized fractional calculus operators
• An application of q-Sumudu transform for fractional q-kinetic equation
• An efficient computational approach for fractional Bratu's equation arising in electrospinning process
• On q-Sumudu transforms of certain q-polynomials
• A wavelet based numerical scheme for fractional order <scp>SEIR</scp> epidemic of measles by using Genocchi polynomials
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