Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

The book is devoted to the mathematical foundations of nonextensive statistical mechanics.
This is the first book containing the systematic presentation of the mathematical theory and …

In this paper we study the q-analogue of the jα Bessel function (see (1)) which results after
minor changes from the so-called Exton function studied by Koornwinder and Swarttow. Our …

A q-analogue of the Mellin transform is introduced by using a standard method of q-calculus
involving the q-Jackson integral. In this paper, we study some of its properties coinciding …

Several q-analogues of certain integral transforms have been recently investigated by many
authors in the recent past. In this paper, we introduce certain analogues of the so-called q …

Wavelet Transforms in Quantum Calculus Page 1 Journal of Nonlinear Mathematical Physics
Volume 13, Number 3 (2006), 492–506 Article Wavelet Transforms in Quantum Calculus …

In this paper, we study in quantum calculus the correspondence between poles of the q-
Mellin transform (see [A. Fitouhi, N. Bettaibi, K. Brahim, The Mellin transform in Quantum …

This paper aims to study the asymptotic approximation of some functions defined by the q-
Jackson integrals, for a fix q∈] 0, 1 [. For this purpose, we shall attempt to extend the …

q-Littlewood-Paley g-function Page 1 Journal of Mathematical Inequalities Volume 16,
Number 4 (2022), 1587–1603 doi:10.7153/jmi-2022-16-103 q–LITTLEWOOD–PALEY g–FUNCTION …

In this paper we explore the weak solutions of the Cauchy problem and an inverse source
problem for the heat equation in the quantum calculus, formulated in abstract Hilbert spaces …