Browsing by Author "Al-Omari, Shrideh K. Q."

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Citation - WoS: 2
Citation - Scopus: 4
A Quadratic-Phase Integral Operator for Sets of Generalized Integrable Functions
(Wiley, 2020) Al-Omari, Shrideh K. Q.; Baleanu, Dumitru; 56389; Matematik
In this paper, we aim to discuss the classical theory of the quadratic-phase integral operator on sets of integrable Boehmians. We provide delta sequences and derive convolution theorems by using certain convolution products of weight functions of exponential type. Meanwhile, we make a free use of the delta sequences and the convolution theorem to derive the prerequisite axioms, which essentially establish the Boehmian spaces of the generalized quadratic-phase integral operator. Further, we nominate two continuous embeddings between the integrable set of functions and the integrable set of Boehmians. Furthermore, we introduce the definition and the properties of the generalized quadratic-phase integral operator and obtain an inversion formula in the class of Boehmians.
Citation - WoS: 2
Citation - Scopus: 2
Convolution Theorems Associated With Some Integral Operators and Convolutions
(Wiley, 2019) Al-Omari, Shrideh K. Q.; Baleanu, Dumitru; 56389; Matematik
In this article, various convolution theorems involving certain weight functions and convolution products are derived. The convolution theorems we obtain are more general, convenient, and efficient than the complicated convolution theorem of the Hartley transform. Further results involving new variants of generalizations of Fourier and Hartley transforms are also discussed.
Citation - WoS: 11
Citation - Scopus: 15
Quaternion fourier integral operators for spaces of generalized quaternions
(Wiley, 2018) Al-Omari, Shrideh K. Q.; Baleanu, D.; 56389; Matematik
This article aims to discuss a class of quaternion Fourier integral operators on certain set of generalized functions, leading to a method of discussing various integral operators on various spaces of generalized functions. By employing a quaternion Fourier integral operator on points closed to the origin, we introduce convolutions and approximating identities associated with the Fourier convolution product and derive classical and generalized convolution theorems. Working on such identities, we establish quaternion and ultraquaternion spaces of generalized functions, known as Boehmians, which are more general than those existed on literature. Further, we obtain some characteristics of the quaternion Fourier integral in a quaternion sense. Moreover, we derive continuous embeddings between the classical and generalized quaternion spaces and discuss some inversion formula as well.
Citation - WoS: 21
Citation - Scopus: 30
Some results for Laplace-type integral operator in quantum calculus
(Springeropen, 2018) Al-Omari, Shrideh K. Q.; Baleanu, Dumitru; Purohit, Sunil D.; 56389; Matematik
In the present article, we wish to discuss q-analogues of Laplace-type integrals on diverse types of q-special functions involving Fox's H-q-functions. Some of the discussed functions are the q-Bessel functions of the first kind, the q-Bessel functions of the second kind, the q-Bessel functions of the third kind, and the q-Struve functions as well. Also, we obtain some associated results related to q-analogues of the Laplace-type integral on hyperbolic sine (cosine) functions and some others of exponential order type as an application to the given theory.