کتاب سیستم های کسری و کنترل یا همان Fractional Dynamics and Control به زبان اصلی

کتاب سیستم های کسری و کنترل یا همان Fractional Dynamics and Control به زبان اصلی

Part I Fractional Control1 A Formulation and Numerical Scheme for FractionalOptimal Control of Cylindrical Structures Subjectedto General Initial Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Md. Mehedi Hasan, X.W. Tangpong, and O.P. Agrawal2 Neural Network-Assisted PI D Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19Mehmet ¨Onder Efe3 Application of Backstepping Control Techniqueto Fractional Order Dynamic Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33Mehmet ¨Onder Efe4 Parameter Tuning of a Fractional-Order PI ControllerUsing the ITAE Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49Badreddine Boudjehem and Djalil Boudjehem5 A Fractional Model Predictive Control for FractionalOrder Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59Djalil Boudjehem and Badreddine Boudjehem6 A Note on the Sequential Linear Fractional DynamicalSystems from the Control System Viewpoint and L2 -Theory . . . . . . . . . 73Abolhassan Razminia, Vahid Johari Majd,and Ahmad Feiz Dizaji7 Stabilization of Fractional Order Unified Chaotic Systemsvia Linear State Feedback Controller .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85E.G. Razmjou, A. Ranjbar, Z. Rahmani, R. Ghaderi,and S. MomaniPart II Fractional Variational Principles and FractionalDifferential Equations8 Fractional Variational Calculus for Non-differentiable Functions . . . . 97Agnieszka B. Malinowska9 Fractional Euler–Lagrange Differential Equations viaCaputo Derivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109Ricardo Almeida, Agnieszka B. Malinowska, and DelfimF.M. Torres10 Strict Stability of Fractional Perturbed Systems in Termsof Two Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119Cos¸kun Yakar, Mustafa Bayram G¨ucen, and MuhammedC¸ ic¸ek11 Initial Time Difference Strict Stability of FractionalDynamic Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133Cos¸kun Yakar and Mustafa Bayram G¨ucen12 A Fractional Order Dynamical Trajectory Approachfor Optimization Problem with HPM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145Fırat Evirgen and Necati O¨ zdemirPart III Fractional Calculus in Mathematics and Physics13 On the Hadamard Type Fractional Differential System . . . . . . . . . . . . . . . 159Ziqing Gong, Deliang Qian, Changpin Li, and Peng Guo14 Robust Synchronization and Parameter Identificationof a Unified Fractional-Order Chaotic System . . . . . . . . . . . . . . . . . . . . . . . . . . 173E.G. Razmjou, A. Ranjbar, Z. Rahmani, and R. Ghaderi15 Fractional Cauchy Problems on Bounded Domains:Survey of Recent Results. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185Erkan Nane16 Fractional AnalogousModels in Mechanics and Gravity Theories . . . 199Dumitru Baleanu and Sergiu I. Vacaru17 Schr¨odinger Equation in Fractional Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209Sami I. Muslih and Om P. Agrawal18 Solutions ofWave Equation in Fractional Dimensional Space . . . . . . . . 217Sami I. Muslih and Om P. Agrawal19 Fractional Exact Solutions and Solitons in Gravity . . . . . . . . . . . . . . . . . . . . 229Dumitru Baleanu and Sergiu I. VacaruPart IV Fractional Order Modeling20 Front Propagation in an AutocatalyticReaction-Subdiffusion System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239Igor M. Sokolov and Daniela Froemberg21 Numerical Solution of a Two-Dimensional AnomalousDiffusion Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249Necati ¨Ozdemir and Derya Avcı22 Analyzing Anomalous Diffusion in NMRUsing a Distribution of Rate Constants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263R.L. Magin, Y.Z. Rawash, and M.N. Berberan-Santos23 Using Fractional Derivatives to Generalizethe Hodgkin–HuxleyModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275Hany H. Sherief, A.M.A. El-Sayed, S.H. Behiry,and W.E. Raslan24 An Application of Fractional Calculus to DielectricRelaxation Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283M.S. C¸ avus¸ and S. Bozdemir25 Fractional Wave Equation for Dielectric Mediumwith Havriliak–Negami Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293R.T. Sibatov, V.V. Uchaikin, and D.V. UchaikinIndex . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303