Solutions to Fractional q-Kinetic Equations Involving Quantum Extensions of Generalized Hyper Mittag-Leffler Functions
This manuscript focuses on new generalizations of q-Mittag-Leffler functions, called
generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence …
generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence …
On the Riemann–Liouville fractional q-calculus operator involving q-Mittag–Leffler function
The aim of this paper is to establish four theorems under the fractional q-calculus operators
that provide an image formula for the q-analogue of generalized Mittag–Leffler function. Due …
that provide an image formula for the q-analogue of generalized Mittag–Leffler function. Due …
Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation
DW Pravica, N Randriampiry… - Abstract and Applied …, 2024 - Wiley Online Library
For q> 1, a new Green's function provides solutions of inhomogeneous multiplicatively
advanced ordinary differential equations (iMADEs) of form y (N)(t)− Ay (qt)= f (t) for t∈[0,∞) …
advanced ordinary differential equations (iMADEs) of form y (N)(t)− Ay (qt)= f (t) for t∈[0,∞) …
Saigo Fractional q‐Differentiation Operator Involving Generalized q‐Mittag–Leffler Function
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 …
Leffler functions under the Saigo fractional q‐differentiation operator, where its argument …
A New q‐Integral Operator Containing Generalized q‐Mittag‐Leffler Function
In this study, we employ the mathematical framework of q‐calculus to introduce a novel
integral operator that incorporates the generalized q‐Mittag‐Leffler function. Following this …
integral operator that incorporates the generalized q‐Mittag‐Leffler function. Following this …
On the fractional q-integral operators involving q-analogue of Mittag-Leffler function
This paper aims to derive the images of the product of the generalized q-analogue of Mittag-
Leffler functions and the basic binomial function, under the fractional q-integral operators of …
Leffler functions and the basic binomial function, under the fractional q-integral operators of …
Quantum solutions of a nonlinear Schrodinger equation
S Arfaoui - arXiv preprint arXiv:2210.08626, 2022 - arxiv.org
In the present paper, we precisely conduct a q-calculus method for the numerical solutions
of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical …
of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical …
On Saigo Fractional -Calculus of a General Class of -Polynomials
B Shimelis, D Suthar - Sahand Communications in …, 2024 - scma.maragheh.ac.ir
In this paper, we derive Saigo fractional $ q $-integrals of the general class of $ q $-
polynomials and demonstrate their application by investigating $ q $-Konhouser …
polynomials and demonstrate their application by investigating $ q $-Konhouser …
[PDF][PDF] FRACTIONAL OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION
The objective of this paper is to explore certain properties involving the generalized
hypergeometric function uFp, q; λ; σ, τ v [z], as introduced by Khan et al.[27]. Several …
hypergeometric function uFp, q; λ; σ, τ v [z], as introduced by Khan et al.[27]. Several …
The Prabhakar fractional -integral and -differential operators, and their properties
In this paper, we have introduced the Prabhakar fractional $ q $-integral and $ q $-
differential operators. We first study the semi-group property of the Prabhakar fractional $ q …
differential operators. We first study the semi-group property of the Prabhakar fractional $ q …