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عبدالرحمن بن إبراهيم محمد الخضيري

Professor

رئيس جامعة نجران ،أستاذ بقسم الإحصاء وبحوث العمليات

كلية العلوم
المبنى 4 ، الدور الأرضي ، مكتب رقم 21 . أ . ب
المنشورات
مقال فى مجلة
2019

Chaotic dynamics and chaos control for the fractional-order geomagnetic field model

, A Al-khedhairi, AE Matouk, I Khan . 2019

Fractional-order Geomagnetic Field model is considered in this work. A sufficient condition is used to prove that the solution of the fractional-order Geomagnetic Field model exists and is unique in a specific region. Conditions for continuous dependence on initial conditions in our model are discussed. In addition, the conditions of local stability of the model's five equilibrium points are obtained. Chaotic attractors are shown to exist in the proposed fractional model. Also, Lyapunov exponents of the fractional-order Geomagnetic Field model are calculated and computations of Lyapunov spectrum as functions of all the model's parameters and fractional-order are performed. Moreover, a novel linear control technique based on Lyapunov stability theory is introduced here to stabilize the chaotic states of the fractional-order Geomagnetic Field model to its five equilibrium points. Finally, to verify the validity of our theoretical results and the effectiveness of the control scheme, numerical simulations based on the Atangana–Baleanu fractional integral in Caputo-sense are done to produce the chaotic attractors.

رقم المجلد
November 2019
رقم الانشاء
128
مجلة/صحيفة
Chaos, Solitons & Fractals
الصفحات
390-401
مزيد من المنشورات
publications

This paper introduces an attempt to investigate the complex dynamics of a nonlinear duopoly game of players (firms) adopting prices as their decision variables. Two different models are introduced…

بواسطة SS Askar, A Al-khedhairi
2020
publications

In this paper, we give a proper investigation of the problem of remanufacturing duopoly game. A smooth piecewise map is introduced to describe such game. A rich analysis either analytical or…

بواسطة SS Askar, A Al-khedhairi
2020
publications

Memory effects play a critical role in complex immune systems. In this paper, the recent efficient and realistic Atangana–Baleanu fractional order derivative, with non-local and non-singular…

بواسطة A Al-khedhairi, AA Elsadany, A Elsonbaty
2019