[1] Hegazi, A.S., Ahmed, E., Matouk, A.E., The effect of Fractional Order on Synchronization of Two Fractional Order Chaotic and Hyperchaotic Systems, J Fract Calc Appl, 1(3), 2011, 1-15.
[2] El-Sayed, A.M.A., Elsonbaty, A., Elsadany, A.A., Matouk,A.E., Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization, Int J Bifurcat Chaos, 26, 2016, Article ID 1650222, 35 pages.
[3] Song, P., Zhao, H., Zhang, X., Dynamic Analysis of a Fractional Order Delayed Predator-Prey System with Harvesting, Theory Biosci, 135(1-2), 2016, 59-72.
[4] Matouk, A.E., Chaos Synchronization of a Fractional-Order Modified Van der Pol-Duffing System via New Linear Control, Backstepping Control and Takagi-Sugeno Fuzzy Approaches, Complexity, 21, 2016, 116-124.
[5] Sayed, W.S., Fahmy, H.A.H., Rezk, A.A., Radwan, A.G., Generalized Smooth Transition Map Between Tent and Logistic Maps, Int J Bifurc Chaos, 27(1), 2017, Article ID 1730004.
[6] Al-khedhairi, A., Matouk, A.E., Khan, I., Chaotic Dynamics and Chaos Control for the Fractional-Order Geomagnetic Field Model, Chaos, Solitons Fractals 128, 2019, 390-401.
[7] Mondal, A., Sharma, S.K., Upadhyay, R.K., Mondal, A., Firing Activities of a Fractional-Order FitzHugh-Rinzel Bursting Neuron Model and its Coupled Dynamics, Scientific Reports, 9, 2019, Article number 15721. 11 pages.
[8] Chen, Y., Fiorentino, F., Negro, L.D., A Fractional Diffusion Random Laser, Scientific Reports, 9, 2019, Article number 8686. 14 pages.
[9] Kyriakis, P., Pequito, S., Bogdan, P., On the Effects of Memory and Topology on the Controllability of Complex Dynamical Networks, Scientific Reports, 10, 2020, Article number 17346. 13 pages.
[10] Chu, Y-M., Ali, R., Asjad, M.I., Ahmadian, A., Senu, N., Heat Transfer Flow of Maxwell Hybrid Nanofluids Due to Pressure Gradient Into Rectangular Region, Scientific Reports, 10, 2020, Article number 16643. 18 pages.
[11] Caputo, M., Linear Models of Dissipation Whose Q is Almost Frequency Independent-II, Geophys J R Astron Soc, 13, 1967, 529-539.
[12] Matouk, A.E., Chaos, Feedback Control and Synchronization of a Fractional-Order Modified Autonomous Van der Pol-Duffing Circuit, Commun Nonlinear Sci Numer Simul, 16, 2011, 975-986.
[13] Hegazi, A.S., Ahmed, E., Matouk, A.E., On Chaos Control and Synchronization of the Commensurate Fractional Order Liu System, Commun Nonlinear Sci Numer Simul, 18, 2013, 1193-1202.
[14] Ahmed, E., Matouk, A.E., Complex Dynamics of Some Models of Antimicrobial Resistance on Complex Networks, Math Meth Appl Sci, Accepted 2020.
[15] Matouk, A.E., Stability Conditions, Hyperchaos and Control in a Novel Fractional Order Hyperchaotic System, Phys Lett A, 373, 2009, 2166-2173.
[16] Hegazi, A.S., Matouk, A.E., Dynamical Behaviors and Synchronization in the Fractional Order Hyperchaotic Chen System, Appl Math Lett, 24, 2011, 1938-1944.
[17] Matignon, D., Stability Results for Fractional Differential Equations with Applications to Control Processing, Proccedings of IMACS, IEEE-SMC,Lille, 1996, 2, 963.
[18] Ahmed, E., Elgazzar, A.S., On Fractional Order Differential Equations Model for Nonlocal Epidemics, Physica A, 379, 2007, 607-614.
[19] Radwan, A.G., Moaddy, K., Salama, K.N., Momani, S., Hashim, I., Control and Switching Synchronization of Fractional Order Chaotic Systems Using Active Control Technique, J Adv Res, 5, 2014, 125.
[20] Mahmoud, G.M., Ahmed, M.E., Abed-Elhameed, T.M., Active Control Technique of Fractional-Order Chaotic Complex Systems, Eur Phys J Plus, 131, 2016, 200. DOI: 10.1140/epjp/i2016-16200-x.
[21] Matouk, A.E., Dynamics and Control in a Novel Hyperchaotic System, Int J Dyn Control, 7, 2019, 241.
[22] Al-Khedhairi, A., Matouk, A.E., Askar, S.S., Computations of Synchronisation Conditions in Some Fractional-Order Chaotic and Hyperchaotic Systems, Pramana–J Phys, 92, 2019, 72, 11 pages.
[23] Matouk, A.E.M., On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System, In Advanced Applications of Fractional Differential Operators to Science and Technology, pp. 115-132, IGI Global, 2020.
[24] Matouk, A.E., Complex Dynamics in Susceptible-Infected Models for COVID-19 with Multi-Drug Resistance, Chaos Solit Fract, 140, 2020, 110257.
[25] Matouk, A.E., Khan, I., Complex Dynamics and Control of a Novel Physical Model Using Nonlocal Fractional Differential Operator With Singular Kernel, J Adv Res, 24, 2020, 463-474.
[26] He, J.H., Approximate Solution of Non Linear Differential Equations With Convolution Product Nonlinearities, Computer Meth Appl Mech Eng, 167, 1998, 69-73.
[27] Hartley, T.T., Lorenzo, C.F., Qammer, H.K., Chaos in a Fractional-Order Chua’s System, IEEE Trans CAS-I, 42, 1995, 485-490.
[28] El-Sayed, A.M.A., Behiry, S.H., Raslan, W.E., Adomian’s Decomposition Method for Solving an Intermediate Fractional Advection-Dispersion Equation, Computers & Mathematics with Applications, 59, 2010, 1759-1765.
[29] Diethelm, K., Ford, N.J., Freed, A.D., A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations, Nonlinear Dynam, 29, 2002, 3-22.
[30] Tavazoei, M.S., Haeri, M., A Proof for Non Existence of Periodic Solutions in Time Invariant Fractional Order Systems, Automatica, 45(8), 2009, 1886-1890.
[31] Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A. Determining Lyapunov Exponents From a Time Series, Physica D: Nonlinear Phenomena, 16(3), 1985, 285-317.
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