Results 1 to 10 of about 75,312 (219)

The h-Laplace and q-Laplace transforms [PDF]

Journal of Mathematical Analysis and Applications, 2010
Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the particular concepts of the h-Laplace and q-Laplace transforms.
Martin Bohner, Gusein Sh Guseinov
exaly   +3 more sources

On (p, q)-Sumudu and (p, q)-Laplace Transforms of the Basic Analogue of Aleph-Function [PDF]

Symmetry, 2020
In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables.
Asifa Tassaddiq, A. Bhat, D. K. Jain, F. Ali   +3 more
semanticscholar   +2 more sources

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +2 more sources

On q-Analogues of Sumudu Transform

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
The present paper introduces q-analogues of the Sumudu transform and derives some distinct properties, for example its convergence conditions and certain interesting connection theorems involving q-Laplace transforms.
Albayrak Durmuş, Purohit Sunil Dutt, Uçar Faruk   +2 more
doaj   +2 more sources

Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function

Journal of Mathematics
The purpose of this study is to obtain the images of the generalized q-analogue of Mittag–Leffler functions under the Saigo fractional q-differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ.
Mulugeta Dawud Ali, D. L. Suthar
doaj   +2 more sources

q-Laplace Type Transforms of q-Analogues of Bessel Functions

Journal of King Saud University - Science, 2020
In this work, q- Laplace type integral transforms which are called qL 2 -transform and q L 2 -transform are applied on three families of q 2 -Bessel Functions. Moreover, we give some examples to show effectiveness of the proposed results.
R. Al-Khairy
exaly   +2 more sources

Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type

Fractal and Fractional
We aim to investigate the stability property for the certain linear and nonlinear fractional q-difference equations in the Ulam–Hyers and Ulam–Hyers–Rassias sense.
Sina Etemad, Ivanka Stamova, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +2 more sources

A new general integral transform for solving integral equations

Journal of Advanced Research, 2021
Introduction: Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic equation that can be solved easily.During ...
Hossein Jafari
doaj   +1 more source

A Product Formula and Certain q-Laplace Type Transforms for the q-Humbert Functions

Kragujevac Journal of Mathematics, 2023
The present work deals with the mathematical investigation of the product formulas and several q-Laplace type integral transforms of certain q-Humbert functions.
Tabinda Nahid, S. Wani
semanticscholar   +1 more source

q-analogue of summability of formal solutions of some linear q-difference-differential equations [PDF]

Opuscula Mathematica, 2015
Let \(q\gt 1\). The paper considers a linear \(q\)-difference-differential equation: it is a \(q\)-difference equation in the time variable \(t\), and a partial differential equation in the space variable \(z\). Under suitable conditions and by using \(q\
Hidetoshi Tahara, Hiroshi Yamazawa
doaj   +1 more source