On fractional \(q\)-integral operators involving the basic analogue of multivariable aleph-function

DOI10.1007/s40010-022-00796-7zbMath1515.26011OpenAlexW4297890823WikidataQ114219639 ScholiaQ114219639MaRDI QIDQ6103553

D. L. Suthar, Frédéric Ayant, Kottakkaran Sooppy Nisar, Dinesh Kumar

Publication date: 5 June 2023

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-022-00796-7

zbMATH Keywords

fractional \(q\)-integralbasic analogue of \(I\)-functionbasic analogue of \(I\)-function of two variablesbasic analogue of aleph-functionbasic analogue of aleph-function of two variablesbasic analogue of multivariable aleph-function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A fractional Leibniz q-formula
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Generating relations and multivariable Aleph-function
• A fractional \(q\)-integral operator associated with a certain class of \(q\)-Bessel functions and \(q\)-generating series
• On transformation involving basic analogue of multivariable \(H\)-function
• Certain classes of analytic functions bound with Kober operators in \(q\)-calculus
• Certain class of analytic functions with respect to symmetric points defined by \(Q\)-calculus
• FINITE INTEGRAL FORMULA INVOLVING ALEPH–FUNCTION AND GENERALIZED MITTAG–LEFFLER FUNCTION
• Some Fractional q-Integrals and q-Derivatives
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