Browsing by Author "Al-Omari, Shrideh Khalaf Qasem"

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Convolution theorems associated with some integral operators and convolutions
(Taylor&Francis LTD, 2019) Al-Omari, Shrideh Khalaf Qasem; 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: 6
Citation - Scopus: 7
On generalized space of quaternions and its application to a class of Mellin transforms
(int Scientific Research Publications, 2016) Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru; 56389; Matematik
The Mellin integral transform is an important tool in mathematics and is closely related to Fourier and bi-lateral Laplace transforms. In this article we aim to investigate the Mellin transform in a class of quaternions which are coordinates for rotations and orientations. We consider a set of quaternions as a set of generalized functions. Then we provide a new definition of the cited Mellin integral on the provided set of quaternions. The attributive Mellin integral is one-to-one, onto and continuous in the quaternion spaces. Further properties of the discussed integral are given on a quaternion context. (C) 2016 All rights reserved.
Citation - WoS: 11
Citation - Scopus: 12
On the generalized stieltjes transform of Fox's Kernel function and its properties in the space of generalized functions
(Eudoxus Press, Llc, 2017) Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru; 56389; Matematik
In this paper, a Stieltjes transform enfolding some Fox's H-function has been investigated on certain class of generalized functions named as Boehmians. By developing two spaces of Boehmians, the extended transform has been inspected and some general properties are also obtained. An inverse problem is also discussed in some detail.