Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Ibrahim, Rabha W.WoS Q: search.filters.wosQuartile.Q1

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Now showing 1 - 10 of 13
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Global Stability of Local Fractional Henon-Lozi Map Using Fixed Point Theory
    (Amer inst Mathematical Sciences-aims, 2022) Baleanu, Dumitru; Ibrahim, Rabha W.
    We present an innovative piecewise smooth mapping of the plane as a parametric discrete-time chaotic system that has robust chaos over a share of its significant organization parameters and includes the generalized Henon and Lozi schemes as two excesses and other arrangements as an evolution in between. To obtain the fractal Henon and Lozi system, the generalized Henon and Lozi system is defined by adopting the fractal idea (FHLS). The recommended system's dynamical performances are investigated from many angles, such as global stability in terms of the set of fixed points.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 13
    Image Encryption Algorithm Based on New Fractional Beta Chaotic Maps
    (Tech Science Press, 2022) Natiq, Hayder; Alkhayyat, Ahmed; Farhan, Alaa Kadhim; Al-Saidi, Nadia M. G.; Baleanu, Dumitru; Ibrahim, Rabha W.
    In this study, a new algorithm of fractional beta chaotic maps is proposed to generate chaotic sequences for image encryption. The proposed technique generates multi random sequences by shuffling the image pixel position. This technique is used to blur the pixels connecting the input and encrypted images and to increase the attack resistance. The proposed algorithm makes the encryption process sophisticated by using fractional chaotic maps, which hold the properties of pseudo-randomness. The fractional beta sequences are utilized to alter the image pixels to decryption attacks. The experimental results proved that the proposed image encryption algorithm successfully encrypted and decrypted the images with the same keys. The output findings indicate that our proposed algorithm has good entropy and low correlation coefficients. This translates to enhanced security against different attacks. A MATLAB programming tool was used to implement and assess the image quality measures. A comparison with other image encryption techniques regarding the visual inspection and signal-to-noise ratio is provided.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Convoluted Fractional Differentials of Various Forms Utilizing the Generalized Raina's Function Description With Applications
    (Taylor & Francis Ltd, 2022) Baleanu, Dumitru; Ibrahim, Rabha W.
    A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized. Our method is based on the concepts of subordination and superordination. As an application, a class of differential equations involving the suggested operator is studied. As seen, the solution is provided by a certain hypergeometric function. We also create a fractional coefficient differential operator. Its geometric and analytic features are discussed. Finally, we use the Jackson's calculus to expand the Raina's differential operator and investigate its properties in relation to geometric function theory.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 8
    The Dynamic and Discrete Systems of Variable Fractional Order in the Sense of the Lozi Structure Map
    (Amer inst Mathematical Sciences-aims, 2022) Natiq, Hayder; Baleanu, Dumitru; Ibrahim, Rabha W.; Al-Saidi, Nadia M. G.
    The variable fractional Lozi map (VFLM) and the variable fractional flow map are two separate systems that we propose in this inquiry. We study several key dynamics of these maps. We also investigate the sufficient and necessary requirements for the stability and asymptotic stability of the variable fractional dynamic systems. As a result, we provide VFLM with the necessary criteria to produce stable and asymptotically stable zero solutions. Furthermore, we propose a combination of these maps in control rules intended to stabilize the system. In this analysis, we take the 1D-and 2D-controller laws as givens.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 4
    Optical Applications of a Generalized Fractional Integro-Differential Equation With Periodicity
    (Amer inst Mathematical Sciences-aims, 2023) Ibrahim, Rabha W.; Baleanu, Dumitru
    Impulsive is the affinity to do something without thinking. In this effort, we model a mathematical formula types integro-differential equation (I-DE) to describe this behavior. We investigate periodic boundary value issues in Banach spaces for fractional a class of I-DEs with non -quick impulses. We provide numerous sufficient conditions of the existence of mild outcomes for I-DE utilizing the measure of non-compactness, the method of resolving domestic, and the fixed point result. Lastly, we illustrate a set of examples, which is given to demonstrate the investigations key findings. Our findings are generated some recent works in this direction.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 4
    Similarity Analytic Solutions of a 3d-Fractal Nanofluid Uncoupled System Optimized by a Fractal Symmetric Tangent Function
    (Tech Science Press, 2022) Ajaj, Ahmed M.; Al-Saidi, Nadia M. G.; Balean, Dumitru; Ibrahim, Rabha W.
    The science of strategy (game theory) is known as the optimal decision-making of autonomous and challenging players in a strategic background. There are different strategies to complete the optimal decision. One of these strategies is the similarity technique. Similarity technique is a generalization of the symmetric strategy, which depends only on the other approaches employed, which can be formulated by altering diversities. One of these methods is the fractal theory. In this investigation, we present a new method studying the similarity analytic solution (SAS) of a 3D-fractal nanofluid system (FNFS). The dynamic evolution is completely given by the concept of differential subordination and majorization. Subordination and majorization relationships are the sets of observable individualities. Game theory can simplify the conditions under which particular sets combine. We offer an explicit construction for the complex possible velocity, energy and thermal functions of two-dimensional fluid flow (the complex variable is suggested in the open unit disk, where the disk is selected at a constant temperature and concentration with uniform velocity). We establish that whenever the 3D-fractal nanofluid system is approximated by a fractal function, the solution has the same property, so a class of fractal tangent function gives SAS. Finally, we demonstrate some simulations and examples that give the consequences of this methodology.
  • Article
    Citation - WoS: 32
    Citation - Scopus: 37
    On Quantum Hybrid Fractional Conformable Differential and Integral Operators in a Complex Domain
    (Springer-verlag Italia Srl, 2021) Baleanu, Dumitru; Ibrahim, Rabha W.
    Newly, the hybrid fractional differential operator (HFDO) is presented and studied in Baleanu et al. (Mathematics 8.3:360, 2020). This work deals with the extension of HFDO to the complex domain and its generalization by using the quantum calculus. The outcome of the above conclusion is a q-HFDO, which will employ to introduce some classes of normalized analytic functions containing the well-known starlike and convex classes. Moreover, we utilize the quantum calculus to formulate the q-integral operator corresponding to q-HFDO. As a result, the upper solution is exemplified by utilizing the notion of subordination inequality.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 4
    On a New Linear Operator Formulated by Airy Functions in the Open Unit Disk
    (Springer, 2021) Baleanu, Dumitru; Ibrahim, Rabha W.
    In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is suggested to define a class of normalized functions (the class of univalent functions) calling the Airy difference formula. As a result, the suggested difference formula joining the linear operator is modified to different classes of analytic functions in the open unit disk.
  • Article
    On a Geometric Study of a Class of Normalized Functions Defined by Bernoulli's Formula
    (Springer, 2021) Aldawish, Ibtisam; Baleanu, Dumitru; Ibrahim, Rabha W.
    The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli's formula. As a consequence, some solutions are indicated by the well-known hypergeometric function. The class of starlike functions is investigated containing the suggested class.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 10
    On a Combination of Fractional Differential and Integral Operators Associated With a Class of Normalized Functions
    (Amer inst Mathematical Sciences-aims, 2021) Baleanu, Dumitru; Ibrahim, Rabha W.
    Recently, the combined fractional operator (CFO) is introduced and discussed in Baleanu et al. [1] in real domain. In this paper, we extend CFO to the complex domain and study its geometric properties in some normalized analytic functions including the starlike and convex functions. Moreover, we employ the complex CFO to modify a class of Briot-Bouquet differential equations in a complex region. As a consequence, the upper solution is illustrated by using the concept of subordination inequality.