Ramzi B. Albadarneh
Hashemite University
Overhead (computing)Synchronization (computer science)Symbolic computationSystems modelingConvergent seriesOrder (group theory)CombinatoricsDigital signatureInteger factorizationAdomian decomposition methodSeries (mathematics)Exponential integratorMathematical optimizationTopologyElectronic circuitMathematical analysisWork (thermodynamics)Linear differential equationType (model theory)IonEncryptionFractional calculusResidualTrapezoidal rule (differential equations)Nonlinear systemTaylor seriesCarry (arithmetic)Domain (software engineering)Discrete logarithmHomotopy analysis methodNumerical stabilityFactoringManifoldCryptographyCryptanalysisFinite differenceBoundary value problemVariable (mathematics)Atomic physicsBlind signatureLyapunov exponentFocus (optics)Range (mathematics)Pure mathematicsPublic-key cryptographyTerm (logic)Finite difference methodScheme (programming language)Initial value problemValue (mathematics)ChaoticSimple (abstract algebra)Identity (object-oriented programming)Decoupling (cosmology)Order (ring theory)Applied mathematicsChaotic systemsNonlinear fractional differential equationsIon temperatureFractional differentialMathematicsAssertionComputer scienceDusty plasmaComputationComputer simulationArtificial neural networkOrdinary differential equationPartial derivativeHomotopyDynamics (mechanics)CryptosystemConvergence (routing)Euler methodOperator (computer programming)Differential equationTheoretical computer scienceConformable matrixPolynomialPartial differential equationNumerical partial differential equations
13Publications
2H-index
51Citations
Publications 14
Newest
This paper introduces some new straightforward and yet power- ful formulas in the form of power series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing some of forthright computations, and by utilizing the so-called Weighted Mean Value Theorem (WMVT). Undoubt- edly, such formulas will be extremely useful in establishing new approaches for several solutions of linear and nonlinear fraction...
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#1Ramzi B. Albadarneh (HU: Hashemite University)H-Index: 2
Last. Iqbal M. Batiha (Irbid National University)
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This paper presents a new synchronization scheme between two chaotic systems combining two classical synchronization, i.e the hybrid synchronization (HS) and the dislocated synchronization (DS), the manifold of the proposed scheme named hybrid dislocated synchronization (HDS for short) is much more complex. Two mathematic theorems present the necessary and sufficient conditions under which (HDS) synchronization can be achieved. In particular, and to show the effectiveness of our approach, a nume...
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In this study, we utilise the homotopy analysis method and the Sumudu transform to find the solution of fractional order partial differential equations. We focus primarily on the employment of the method for solving the fractional phi-4 equation in one-dimensional spatial domain. The method can be extended easily for more general nonlinear equations. Convergence and error analysis are given. Numerical experiments show that the method is both effective and accurate, and suits such type of applica...
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In this paper, a new analytical method is developed for solving linear and non-linear fractional-order coupled systems of incommensurate orders. The system consists of two fractional-order differential equations of orders . The proposed approach is performed by decoupling the system into two fractional-order differential equations; the first one is a fractional-order differential equation (FoDE) of one variable of order , while the second one depends on the solution of the first one. The general...
1 CitationsSource
#1Iqbal M. Batiha (Ajman University of Science and Technology)H-Index: 4
#2Ramzi B. Albadarneh (HU: Hashemite University)H-Index: 2
Last. Iqbal H. Jebril (Al-Zaytoonah University of Jordan)
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This paper proposes fractional-order systems for Hopfield Neural Network (HNN). The so-called Predictor–Corrector Adams–Bashforth–Moulton Method (PCABMM) has been implemented for solving such syste...
5 CitationsSource
#1Nedal TahatH-Index: 8
#2Ashraf TahatH-Index: 9
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Cryptosystems relying on chaotic maps have been presented lately. As a result of inferred and convenient connections amongst the attributes of conventional cryptosystems and chaotic frameworks, the concept of chaotic systems with applications to cryptography has earned much consideration from scientists working in the various domains. Hence, we suggest a novel IDentity-based Blind Signature (ID-BS) based technique in this paper that relies on a pair of hard number theoretic problems, namely, the...
2 CitationsSource
#1Nedal Tahat (HU: Hashemite University)H-Index: 8
#2Ashraf Tahat (Princess Sumaya University for Technology)H-Index: 9
Last. Obaida M. Al-Hazaimeh (Al-Balqa` Applied University)H-Index: 7
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Public key cryptography has received great attention in the field of information exchange through insecure channels. In this paper, we combine the Dependent-RSA (DRSA) and chaotic maps (CM) to get a new secure cryptosystem, which depends on both integer factorization and chaotic maps discrete logarithm (CMDL). Using this new system, the scammer has to go through two levels of reverse engineering, concurrently, so as to perform the recovery of original text from the cipher-text has been received....
2 CitationsSource
#2Iqbal M. BatihaH-Index: 4
Last. M. ZurigatH-Index: 1
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The major goal of this paper is to find accurate solutions for linear fractional differential equations of order . Hence, it is necessary to carry out this goal by preparing a new method called Fractional Finite Difference Method (FFDM). However, this method depends on several important topics and definitions such as Caputo’s definition as a definition of fractional derivative, Finite Difference Formulas in three types (Forward, Central and Backward) for approximating the and derivatives and Com...
6 CitationsSource
In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order 0 < α < 1 in sense of Caputo’s definition is proposed. The efficiency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order 0 < α < 1. AMS Subject Classification: 65D25
3 CitationsSource