S. Al-Omari

Publications92
h-index11
Citations412
Highly Influential Citations4
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Hartley transforms on a certain space of generalized functions
Abstract. The idea of the construction of Boehmians was initiated by the concept of regular operators. The construction of Boehmians is similar to the construction of the field of quotients and, in… Expand
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Certain results related to the N-transform of a certain class of functions and differential operators
In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products,… Expand
  • 3
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On the generalized Hartley and Hartley-Hilbert transformations
In this paper, we extend Hartley and Hartley-Hilbert transformations (HT and HHT, respectively) to a certain space of tempered distributions. We then establish a certain convolution theorem for the… Expand
  • 4
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On the Exponential Radon Transform and Its Extension to Certain Functions Spaces
We investigate the exponential Radon transform on a certain function space of generalized functions. We establish certain space of generalized functions for the cited transform. The transform that is… Expand
  • 7
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Global stability in a structured population competition model with distributed maturation delay and harvesting
Abstract This paper is concerned with a delay differential equation model for the interaction between two species, the adult members of which are in competition, with stage-structure and harvesting… Expand
  • 11
Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations
In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space. This method… Expand
  • 14
Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of Boehmians
We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue… Expand
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Numerical solutions of hybrid fuzzy differential equations in a Hilbert space
Abstract The main goal of this work is to study a numerical method for certain hybrid fuzzy differential equations with an application of a reproducing kernel Hilbert space technique for fuzzy… Expand
  • 7
Certain recent fractional integral inequalities associated with the hypergeometric operators
Abstract The principle aim of this paper is to establish some new (presumably) fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with… Expand
  • 7
On the Distributional Mellin Transformation and its Extension to Boehmian Spaces
A classical theory of the Mellin transform is extended to a generalized function space which is a dual of a testing function space developed by A.H. Zamanian. Support of the generalized Mellin… Expand
  • 14
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