Titlebook: Applied Fractional Calculus in Identification and Control; Utkal Mehta,Kishore Bingi,Sahaj Saxena Book 2022 The Editor(s) (if applicable)

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Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function,. The quadratic fractal interpolation function with variable scaling factors has been chosen for the study to elucidate the influence of scaling factors as variables on the fractal functions. By prescribing the initial conditions to the quadratic fractal interpolation function, its fractional derivative is analyzed.

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Synchronization of Stochastic Fractional Chaotic Systems,ess, stability analysis, and feedback control technique to assure the synchronization of stochastic error system (ES). After that, numerical illustrations are provided to verify the theoretical parts.

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Optimum Fractional-Order PID for Active Suspension of Quarter Car Model Control,asymptotic stable with minimum integral performance indices. To test the controller’s performance under parametric uncertainties and external road disturbances, simulations are run in MATLAB/Simulink.

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