Zobrazeno 1 - 10
of 938
pro vyhledávání: '"q-integral"'
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:
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:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-20 (2024)
Abstract The paper focuses on establishing sufficient conditions for the existence of the solutions in some functional q-integral equations, particularly in Banach spaces. In this method, the technique of measures of noncompactness and Petryshyn’s
Externí odkaz:
https://doaj.org/article/73b849927bdd4a15b991f7c6b5ccf871
Autor:
Shrideh Al-Omari
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 410-416 (2024)
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
Externí odkaz:
https://doaj.org/article/27a629b0b624498887b01d84f1c57416
Autor:
Da Shi, Ghulam Farid, Abd Elmotaleb A. M. A. Elamin, Wajida Akram, Abdullah A. Alahmari, B. A. Younis
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23459-23471 (2023)
This paper investigates some well-known inequalities for $ q $-$ h $-integrals. These include Hölder, Ostrowski, Grüss and Opial type inequalities. Refinement of the Hadamard inequality for $ q $-$ h $-integrals is also established by applying the
Externí odkaz:
https://doaj.org/article/3925e65968724172ba8369f913ea4ad5
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 19313-19333 (2023)
This paper is concerned with the existence of solutions for a nonlinear multi-term impulsive fractional $ q $-integro-difference equation with nonlocal boundary conditions. The appropriated fixed point theorems are applied to accomplish the existence
Externí odkaz:
https://doaj.org/article/d20a1c3ac5f246168fc8bd402e9a9d2b
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 12-9689 (2023)
In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different
Externí odkaz:
https://doaj.org/article/bdea9e0a97564a20a8f2f353a33562c6
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 16165-16174 (2023)
The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequali
Externí odkaz:
https://doaj.org/article/bf81d861f1284cd6818225932f517dbc
Autor:
Faiz A. Reshem, Husam L. Saad
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 7, Iss , Pp 100517- (2023)
In this paper, we employ the q-difference equation technique to generalize some well-known q-integrals such as the extension of Askey–Roy q-integral, Andrews–Askey q-integral, and Askey–Wilson q-integral.
Externí odkaz:
https://doaj.org/article/9d3aa107b77942f48581916855ee241a
Publikováno v:
Axioms, Vol 13, Iss 4, p 278 (2024)
This paper aims to unify q-derivative/q-integrals and h-derivative/h-integrals into a single definition, called q−h-derivative/q−h-integral. These notions are further extended on the finite interval [a,b] in the form of left and right q−h-deriv
Externí odkaz:
https://doaj.org/article/d0d1ff5f013c4ca78165c4912aa99fd6