Zobrazeno 1 - 10
of 1 087
pro vyhledávání: '"$ q $-derivative"'
Autor:
Somayeh Nazari, Mohammad Esmael Samei
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In this paper, we investigate the presence of positive solutions for system of fractional q-differential inclusions involving sequential derivatives with respect to the p-Laplacian operator. By using fixed point technique we obtain a new sol
Externí odkaz:
https://doaj.org/article/42358b8b25004f0ab33c38400276fc4a
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28421-28446 (2024)
This paper employs differential subordination and quantum calculus to investigate a new class of $ q $-starlike functions associated with an eight-like image domain. Our study laid a foundational understanding of the behavior of these $ q $-starlike
Externí odkaz:
https://doaj.org/article/5d427ef30bce46268fbe66495575f771
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 3, Pp 5-32 (2024)
This paper is devoted to the study of a fractional q-difference equation involving dual hybrid terms and equipped with nonlocal multipoint and Riemann-Liouville fractional q-integral boundary conditions. Applying a fixed point approach, we investigat
Externí odkaz:
https://doaj.org/article/860bfe3977e447a09bd7f49fb2adf3cc
Publikováno v:
Science and Technology Indonesia, Vol 9, Iss 4, Pp 981-988 (2024)
A function with complex values and at every point of the specific domain contains a derivative is commonly known as analytic functions which is also referred as holomorphic functions. We begin by interpreting \(A\) as the class for all holomorphic fu
Externí odkaz:
https://doaj.org/article/4518ae89957c4b88ab8d68e78992f78e
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 45-9689 (2024)
In this article, we introduce and study a new class of higher-order fractional q-difference equations involving Riemann-Liouville q-derivatives with dual hybrid terms, supplemented with nonlocal multipoint q-integral boundary conditions. The existenc
Externí odkaz:
https://doaj.org/article/62b6e9f78a284965a8aa51f722d9713f
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834, 2023) used the error function together with a q-convolution to introduce a new operator. By means of this operator the following class R α , ϒ λ , q ( δ , η ) $\mathcal{R}_{\alph
Externí odkaz:
https://doaj.org/article/0e53f3869ca449c084179cc8b8fd25b2
Autor:
Jung Yoog Kang, Cheon Seoung Ryoo
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16753-16772 (2024)
In this study, we introduced several types of higher-order difference equations involving $ q $-SINE Euler (QSE) and $ q $-COSINE Euler (QCE) polynomials. Depending on the parameters selected, these higher-order difference equations exhibited propert
Externí odkaz:
https://doaj.org/article/4aba7ea09e9f4a898dcdf393f164590f
Autor:
Biniyam Shimelis, D.L. Suthar
Publikováno v:
Journal of King Saud University: Science, Vol 36, Iss 7, Pp 103234- (2024)
The intent of this work is to create and study certain fundamental characteristics of new generalizations of the M-function using q-calculus. We establish its characteristics, like the convergence condition, recurrence relation, integral representati
Externí odkaz:
https://doaj.org/article/e4e84fd5d4b64e1c9f4c9319fb71fa28
Autor:
Nurdiana Binti Nurali, Aini Janteng
Publikováno v:
Science and Technology Indonesia, Vol 9, Iss 2, Pp 354-358 (2024)
An analytic function, also known as a holomorphic function, is a complex-valued function that is differentiable at every point within a given domain. In other words, a function f (z) is analytic in a domain U if it has a derivative f′(z) at every p
Externí odkaz:
https://doaj.org/article/5487bf6d06a74d68993b23784cf251b4
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 10679-10697 (2024)
In this paper, we examined the existence and uniqueness of solutions to the second-order $ (p, q) $-difference equation with non-local boundary conditions by using the Banach fixed-point theorem. Moreover, we introduced a special case of this equatio
Externí odkaz:
https://doaj.org/article/9ce869baccb64d4aa85f7f1b65fac7c0