On the finite Mellin transform in quantum calculus and application

DOI10.1016/S0252-9602(18)30821-XzbMath1438.33031OpenAlexW2808827491MaRDI QIDQ2313150

Kamel Brahim, Ahmed Fitouhi, Bochra Nefzi

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30821-x

zbMATH Keywords

fractional \(q\)-integral\(q\)-Mellin transformfinite Mellin transformfractional \(q\)-differential equation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (5)

Ulam-Hyers-Rassias stability and existence of solutions to nonlinear fractional difference equations with multipoint summation boundary condition ⋮ On the \((p, q)\)-Mellin transform and its applications ⋮ Two-dimensional (P,Q)-Mellin transform and applications ⋮ Fractional \((p,q)\)-Mellin transform and its applications ⋮ Finite Mellin transform for \((p,q)\) and symmetric calculus

Cites Work

• \(q\)-fractional calculus and equations
• The Mellin transform in quantum calculus
• On certain dual \(q\)-integral equations
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• An asymptotic expansion of the q-gamma function q(x)
• The quantum group SU_q(2) and a q-analogue of the boson operators
• A Method for q-Calculus
• Quantum calculus
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