Zabidin Salleh

Universiti Malaysia Terengganu

CombinatoricsGradient methodDiscrete mathematicsMathematical optimizationGradient descentPairwise comparisonMaterials scienceDerivation of the conjugate gradient methodPure mathematicsNanofluidNonlinear conjugate gradient methodApplied mathematicsUnconstrained optimizationMathematicsComputer scienceControl theoryConvergence (routing)Conjugate gradient methodLine searchConjugate residual method

92Publications

8H-index

272Citations

Publications 94

A Novel Method for Developing Efficient Probability Distributions with Applications to Engineering and Life Science Data

#1Alamgir Khalil (UoP: University of Peshawar)H-Index: 3

#2Abdullah Ali H. Ahmadini (JazanU: Jazan University)H-Index: 2

Last. Zabidin Salleh (UMT: Universiti Malaysia Terengganu)H-Index: 8

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In this paper, a new approach for deriving continuous probability distributions is developed by incorporating an extra parameter to the existing distributions. Frechet distribution is used as a submodel for an illustration to have a new continuous probability model, termed as modified Frechet (MF) distribution. Several important statistical properties such as moments, order statistics, quantile function, stress-strength parameter, mean residual life function, and mode have been derived for the p...

A Descent Four-Term Conjugate Gradient Method with Global Convergence Properties for Large-Scale Unconstrained Optimisation Problems

#1Ahmad Alhawarat (UMT: Universiti Malaysia Terengganu)H-Index: 5

#2Ghaliah Alhamzi (Islamic University)

Last. Zabidin Salleh (UMT: Universiti Malaysia Terengganu)H-Index: 8

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#1Yan Zhao (Xinxiang Medical University)

#2M. Shoaib Saleem (University of Okara)

Last. Zabidin Salleh (UMT: Universiti Malaysia Terengganu)H-Index: 8

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Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. In this paper, firstly we introduce the notion of null null null null null null - exponential convex functions. This notion can be considered as generalizations of many existing definitions of convex functions. Then, we establish some well-known inequalities for the proposed notion via incomple...

A Modified Liu and Storey Conjugate Gradient Method for Large Scale Unconstrained Optimization Problems

#1Zabidin SallehH-Index: 8

Last. Ahmad AlhawaratH-Index: 5

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The conjugate gradient method is one of the most popular methods to solve large-scale unconstrained optimization problems since it does not require the second derivative, such as Newton’s method or approximations. Moreover, the conjugate gradient method can be applied in many fields such as neural networks, image restoration, etc. Many complicated methods are proposed to solve these optimization functions in two or three terms. In this paper, we propose a simple, easy, efficient, and robust conj...

A Convex Combination between Two Different Search Directions of Conjugate Gradient Method and Application in Image Restoration

#1Ahmad AlhawaratH-Index: 5

#2Zabidin SallehH-Index: 8

Last. Ibtisam A. Masmali

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The conjugate gradient is a useful tool in solving large- and small-scale unconstrained optimization problems. In addition, the conjugate gradient method can be applied in many fields, such as engineering, medical research, and computer science. In this paper, a convex combination of two different search directions is proposed. The new combination satisfies the sufficient descent condition and the convergence analysis. Moreover, a new conjugate gradient formula is proposed. The new formula satis...

A flow study of Carreau fluid near the boundary layer region of paraboloid surface with viscous dissipation and variable fluid properties

#1T. Salahuddin (Mirpur University of Science and Technology)H-Index: 26

#2Muhammad Awais (Mirpur University of Science and Technology)

Last. Zabidin Salleh (UMT: Universiti Malaysia Terengganu)H-Index: 8

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Abstract null null The 2-D steady flow of Carreau fluid by considering the effects of magneto-hydro-dynamic, viscous dissipation and activation energy on the surface of parabola is investigated numerically and graphically in this study. The motion, temperature and mass transfer of fluid is examined by considering the variable thermo-physical properties. The upper surface of a submarine, aircraft, bullet and car's bonnet are certain examples of the upper paraboloid surface. The motion of fluid ov...

#2Zabidin SallehH-Index: 8

Last. Ahmad AlhawaratH-Index: 5

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#1Waqas Nazeer (Government College University)H-Index: 19

#2Ghulam Farid (CUI: COMSATS Institute of Information Technology)H-Index: 16

Last. A. Bibi (CUI: COMSATS Institute of Information Technology)H-Index: 5

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We have studied the Opial-type inequalities for superquadratic functions proved for arbitrary kernels. These are estimated by applying mean value theorems. Furthermore, by analyzing specific functions, the fractional integral and fractional derivative inequalities are obtained.

Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation

#2Farhad AliH-Index: 25

Last. IkramullahH-Index: 3

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The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which models and governs the evolution of fixed wave structures. This paper presents the analysis of the approximate symmetries along with conservation laws corresponding to the perturbed KdV equation for different classes of the perturbed function. Partial Lagrange method is used to obtain the approximate symmetries and their corresponding conservation laws of the KdV equation. The purpose of this study...

#1Koon Sang Wong (UMT: Universiti Malaysia Terengganu)

#2Zabidin Salleh (UMT: Universiti Malaysia Terengganu)H-Index: 8

We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a single-valued case to a set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals.

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