Functional Numerical Methods: Applications to Abstract Fractional Calculus

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas – including decision-making complex processes systems modeling and control – and deeply embedded in the fields of engineering computer science physics economics and the social and life sciences. The book offers a valuable resource for researchers and graduate students and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further each chapter includes an extensive list of references.