Browsing by Author "Al-Omari, Shrideh"

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Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator
(2022) Baleanu, Dumitru; Al-Omari, Shrideh; Nonlaopon, Kamsing; Baleanu, Dumitru; 56389
In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions. We also formulate a class of bi-univalent functions influenced by a definition of a fractional q-derivative operator in an open symmetric unit disc. Further, we provide an estimate for the function coefficients |a2 | and |a3 | of the new classes. Over and above, we study an interesting Fekete–Szego inequality for each function in the newly defined classes.
Soft computing technique for a system of fuzzy Volterra integro-differential equations in a Hilbert space
(2020) Baleanu, Dumitru; Al-Omari, Shrideh; Baleanu, Dumitru; 56389
In this article, we implement a relatively new computational technique, a reproducing kernel Hilbert space method, for solving a system of fuzzy Volterra integro-differential equations in the Hilbert space circle plus(n)(j=1) (W-2(2) [a, b] circle plus W-2(2) [a, b]). Based on the concept of the reproducing kernel function combined with Gram-Schmidt orthogonalization process, we represent an exact solution in a form of Fourier series in the reproducing kernel Hilbert space circle plus(n)(j=1) (W-2(2) [a, b] circle plus W-2(2) [a, b]). Accordingly, the approximate solution of the system of fuzzy Volterra integro-differential equations is obtained by the n-term intercept of the exact solution and proved to converge to the exact solution. Finally, two numerical examples are presented to illustrate the reliability, appropriateness and efficiency of the method. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term
(2020) Baleanu, Dumitru; Al-Smadi, Mohammed; Al-Omari, Shrideh; Baleanu, Dumitru; Momani, Shaher; 56389
Nonclassical quantum mechanics along with dispersive interactions of free particles, long-range boson stars, hydrodynamics, harmonic oscillator, shallow-water waves, and quantum condensates can be modeled via the nonlinear fractional Schrödinger equation. In this paper, various types of optical soliton wave solutions are investigated for perturbed, conformable space-time fractional Schrödinger model competed with a weakly nonlocal term. The fractional derivatives are described by means of conformable space-time fractional sense. Two different types of nonlinearity are discussed based on Kerr and dual power laws for the proposed fractional complex system. The method employed for solving the nonlinear fractional resonant Schrödinger model is the hyperbolic function method utilizing some fractional complex transformations. Several types of exact analytical solutions are obtained, including bright, dark, singular dual-power-type soliton and singular Kerr-type soliton solutions. Moreover, some graphical simulations of those solutions are provided for understanding the physical phenomena.