Fractional Order Processes: Simulation, Identification, and Control

ISBN-13: 9781138586741 / Angielski / Twarda / 2018 / 340 str.

Seshu K. Damarla; Madhusree Kundu

Opis

The book focusses on applications of triangular orthogonal function in fractional calculus with numerical methods for solving fractional order integral equations, integro-differential equations, and fractional order algebraic equations. Devised numerical methods are used in solving problems in different areas of engineering and sciences.

Spis treści

1 Mathematical Postulations 2 Numerical Method for Simulation of Physical Processes Represented by Weakly Singular Fredholm, Volterra, and Volterra-Fredholm Integral Equations 3 Numerical Method for Simulation of Physical Processes Modeled by Abel’s Integral Equations 4 Numerical Method for Simulation of Physical Processes Described by Fractional-Order Integro-Differential Equations 5 Numerical Method for Simulation of Physical Processes Represented by Stiff and Nonstiff Fractional-Order Differential Equations, and Differential-Algebraic Equations 6 Numerical Method for Simulation of Fractional Diffusion-Wave Equation 7 Identification of Fractional Order Linear and Nonlinear Systems from Experimental or Simulated Data 8 Design of Fractional Order Controllers using Triangular Strip Operational Matrices 9 Rational Integer Order System Approximation for Irrational Fractional Order Systems 10 Numerical Method for Solving Fractional-Order Optimal Control Problems