A fractional \(q\)-integral operator associated with a certain class of \(q\)-Bessel functions and \(q\)-generating series

DOI10.1186/S13662-021-03594-4zbMath1494.45016OpenAlexW3207436101MaRDI QIDQ2167205

Serkan Araci, D. L. Suthar, Shrideh K. Q. Al-Omari

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-021-03594-4

zbMATH Keywords

fractional integral\(q\)-analogue\(q\)-exponential function\(q\)-Bessel function\(q\)-trigonometric function\(q\)-fractional integral operator

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Integral operators (45P05) Inequalities for sums, series and integrals (26D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

A new formulation of finite difference and finite volume methods for solving a space fractional convection-diffusion model with fewer error estimates ⋮ On fractional \(q\)-integral operators involving the basic analogue of multivariable aleph-function ⋮ On geometric properties of certain subclasses of univalent functions defined by Noor integral operator

Cites Work

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• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• A fractional Leibniz q-formula
• An estimate of Sumudu transforms for boehmians
• Certain results related to the \(N\)-transform of a certain class of functions and differential operators
• Some results for Laplace-type integral operator in quantum calculus
• \(q\)-analogues and properties of the Laplace-type integral operator in the quantum calculus theory
• Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory
• Estimates of classes of generalized special functions and their application in the fractional \((k, s)\)-calculus theory
• On weighted \(q\)-Daehee polynomials with their applications
• The \(q\)-Sumudu transform and its certain properties in a generalized \(q\)-calculus theory
• REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS
• Fractional q-Calculus on a time scale
• Black hole statistics
• Quaternion fourier integral operators for spaces of generalized quaternions
• The $q$-analogue of the $E_{2;1}$-transform and its applications
• On a q‐Laplace–type integral operator and certain class of series expansion
• On q-analogues of the natural transform of certain q-Bessel functions and some application
• On q-Sumudu transforms of certain q-polynomials
• 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
• Die mechanische Deutung einer geometrischen Differenzgleichung
• Quantum calculus
• \(q\)-deformed structures and nonextensive statistics: a comparative study

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