Results 21 to 30 of about 75,312 (219)

On q-laplace and q-sumudu transforms of a product of generalized q-bessel functions [PDF]

, 2020
The fundamental motivation behind this article is to take account of q-Laplace and q-Sumudu transforms of the generalized q-Bessel functions. As applications, intriguing unique instances of hypotheses are likewise examined.
ALBAYRAK, DURMUŞ, UÇAR, FARUK
core   +2 more sources

Unilateral Laplace Transforms on Time Scales [PDF]

, 2022
We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties.
Manuel D. Ortigueira, Müfit Şan, Şan, Müfit, Ortigueira, Manuel D.   +3 more
core   +1 more source

Yang-Baxter random fields and stochastic vertex models [PDF]

, 2019
Bijectivization refines the Yang-Baxter equation into a pair of local Markov moves which randomly update the configuration of the vertex model. Employing this approach, we introduce new Yang-Baxter random fields of Young diagrams based on spin $q ...
Alexey I. Bufetov, Matteo Mucciconi, L. Petrov   +2 more
semanticscholar   +1 more source

q-Laplace Transform on Quantum Integral

Kragujevac Journal of Mathematics, 2023
In this paper, we present q-Laplace transform by q-integral definition on quantum analogue. We present some properties and obtain formulaes of q-Laplace transform with its aplications.
Necmettin Alp, M. Sarıkaya
semanticscholar   +1 more source

On Laplace transforms with respect to functions and their applications to fractional differential equations

Mathematical methods in the applied sciences, 2021
An important class of fractional differential and integral operators is given by the theory of fractional calculus with respect to functions, sometimes called Ψ‐fractional calculus.
Hafiz Muhammad Fahad, M. Rehman, A. Fernandez   +2 more
semanticscholar   +1 more source

Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]

Sahand Communications in Mathematical Analysis
In this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali, Dayalal Suthar, Sunil Purohit   +2 more
doaj   +1 more source

q-Laplace Transform

, 2016
The Fourier transformations are used mainly with respect to the space variables. In certain circumstances, however, for reasons of expedience or necessity, it is desirable to eliminate time as a variable in the problem.
S. Taheri, Maryam Simkhah Asil
semanticscholar   +1 more source

Fourier and Laplace Transforms [PDF]

, 2003
This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena.
Beerends, R.J., Morsche, H.G., ter, Berg, J.C., van den   +2 more
core   +3 more sources

Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms

Forum mathematicum, 2022
For a variable Z=(zi⁢j){Z=(z_{ij})} of the Siegel upper half space Hn{H_{n}} of degree n, put ∂Z=(1+δi⁢j2⁢∂∂⁡zi⁢j)1≤i,j≤n{{\partial}_{Z}=(\frac{1+\delta_{ij}}{2}\frac{{\partial}}{{\partial}z_{ij}})_{% 1\leq i,j\leq n}}.
T. Ibukiyama
semanticscholar   +1 more source

A generalized Meijer transformation

International Journal of Mathematics and Mathematical Sciences, 1985
In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function (st)νη(q,ν+1; (st)q).
G. L. N. Rao, L. Debnath
doaj   +1 more source