Results 21 to 30 of about 5,587,423 (323)

Nontrivial Solutions for a System of Fractional q-Difference Equations Involving q-Integral Boundary Conditions

open access: yesMathematics, 2020
In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Yao-Hong Li   +3 more
semanticscholar   +2 more sources

Certain results associated with q-Agarwal fractional integral operators and a q-class of special functions

open access: yesArab Journal of Basic and Applied Sciences
This article investigates certain q-analogue of the fractional Agarwal integral operator and its application to a class of polynomials and a series of functions. By utilizing various types of q-Bessel functions, the fractional q-Agarwal integral has been
Shrideh Al-Omari
doaj   +2 more sources

Differentiating under q–integral sign

open access: yesHacettepe Journal of Mathematics and Statistics
The Leibniz integral rule enables us to interchange the order of differentiation and integration under some differentiability of the functions. It can be very useful in the computing the exact value of certain integrals.
P. Rajković, S. Marinković
semanticscholar   +3 more sources

Bazı q-integral dönüşümleri

open access: yes, 2009
BAZI q-İNTEGRAL DÖNÜŞÜMLERİ Bu tezde q-Laplace ve q-Stieltjes dönüşümleri çalışıldı. Bu amaçla, kuantum analizin temel tanımları ve bazı q-özel foksiyonların tanımları verilmiştir.
Vulaş, Burcu
core   +3 more sources

New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings

open access: yesOpen Mathematics, 2020
In the article, we present a new (p,q)(p,q)-integral identity for the first-order (p,q)(p,q)-differentiable functions and establish several new (p,q)(p,q)-quantum error estimations for various integral inequalities via (α,m)(\alpha ,m)-convexity. We also
Kalsoom Humaira   +4 more
doaj   +2 more sources

q-integral equations of fractional orders

open access: yesElectronic Journal of Differential Equations, 2016
The aim of this paper is to study the existence of solutions for a class of q-integral equations of fractional orders. The techniques in this work are based on the measure of non-compactness argument and a generalized version of Darbo's theorem.
Mohamed Jleli   +2 more
doaj   +2 more sources

O q-Integral de Jackson. [PDF]

open access: yes, 2010
Dissertação de Mestrado em Ensino da MatemáticaO q-integral de Jackson tem sido usado para defenir em alguns casos particulares, relacôes de ortogonalidade entre funcões hipergeometricas basicas.
Teixeira, Marcelo André da Silva
core   +3 more sources

A First Order q-Difference System for the BC_1-Type Jackson Integral and Its Applications [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
We present an explicit expression for the q-difference system, which the BC_1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis.
Masahiko Ito
doaj   +2 more sources

On study the fractional Caputo-Fabrizio integro differential equation including the fractional q-integral of the Riemann-Liouville type

open access: yesAIMS Mathematics, 2023
The major objective of this scheme is to investigate both the existence and the uniqueness of a solution to an integro-differential equation of the second order that contains the Caputo-Fabrizio fractional derivative and integral, as well as the q ...
K. Ali   +3 more
semanticscholar   +1 more source

Applications of a certain $q$-integral operator to the subclasses of analytic and bi-univalent functions

open access: yesAIMS Mathematics, 2021
In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
B. Khan   +5 more
semanticscholar   +1 more source

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