Fractional Order Processes

Seshu Kumar Damarla was born in the year 1985 in Chirala, Prakasam, Andhra Pradesh, India. He did his B.Tech (Chemical Engineering) from Bapatla Engineering College, Bapatla, Andhra Pradesh, India (2008), and M.Tech (Chemical Engineering) from NIT Rourkela, Odisha, India (2011). Mr. Damarla submitted his Ph.D dissertation (Title of the dissertation is Developing Numerical Methods for Simulation, Identification and Control of Fractional Order Process) to NIT Rourkela, Odisha, India (2017). Mr. Damarla served as an Assistant Professor for a short duration (from 5th August 2011 to 31st December 2011) in Chemical Engineering in Maulana Azad National Institute of Technology Bhopal, Madhya Pradesh, India, and has been working as an Assistant Professor in Chemical Engineering in C.V. Raman College of Engineering, Bhubaneswar, Odisha, India. Mr. Damarla has published a couple of research articles in the internationally refereed journals to his credit and also published in the proceedings of national and international conferences. Mr. Damarla co-authored a reference textbook titled Chemometric Monitoring: Product Quality Assessment, Process Fault Detection, and Applications (CRC Press, Taylor & Francis Group, Boca Raton, Florida, United States, 2017. (ISBN 9781138746213)). Mr. Damarla has been a referee for Acta Biotheoretica (a springer publication), Journal of King Saud Science (an Elsevier publication), and Applied and Computational Mathematics (Science Publishing Group, USA). Mr. Damarla is a member of International Association of Engineers (IAENG), Fractional Calculus and Application Group, and Allahabad Mathematical Society.

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.

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