Anastassiou, George A.
Functional Numerical Methods: Applications to Abstract Fractional Calculus [electronic resource] / by George A. Anastassiou, Ioannis K. Argyros. - 1st ed. 2018. - X, 161 p. online resource. - Studies in Systems, Decision and Control, 130 2198-4190 ; . - Studies in Systems, Decision and Control, 130 .
Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus -- Convergence of Iterative methods in abstract fractional calculus -- Equations for Banach space valued functions in fractional vector calculi -- Iterative methods in abstract fractional calculus -- Semi-local convergence in right abstract fractional calculus -- Algorithmic convergence in abstract g-fractional calculus -- Iterative procedures for solving equations in abstract fractional calculus -- Approximate solutions of equations in abstract g-fractional calculus -- Generating sequences for solving in abstract g-fractional calculus -- Numerical Optimization and fractional invexity.
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.
9783319695266
10.1007/978-3-319-69526-6 doi
Computational intelligence.
Control engineering.
Artificial intelligence.
System theory.
Control theory.
Computational Intelligence.
Control and Systems Theory.
Artificial Intelligence.
Systems Theory, Control .
Q342
006.3
Functional Numerical Methods: Applications to Abstract Fractional Calculus [electronic resource] / by George A. Anastassiou, Ioannis K. Argyros. - 1st ed. 2018. - X, 161 p. online resource. - Studies in Systems, Decision and Control, 130 2198-4190 ; . - Studies in Systems, Decision and Control, 130 .
Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus -- Convergence of Iterative methods in abstract fractional calculus -- Equations for Banach space valued functions in fractional vector calculi -- Iterative methods in abstract fractional calculus -- Semi-local convergence in right abstract fractional calculus -- Algorithmic convergence in abstract g-fractional calculus -- Iterative procedures for solving equations in abstract fractional calculus -- Approximate solutions of equations in abstract g-fractional calculus -- Generating sequences for solving in abstract g-fractional calculus -- Numerical Optimization and fractional invexity.
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.
9783319695266
10.1007/978-3-319-69526-6 doi
Computational intelligence.
Control engineering.
Artificial intelligence.
System theory.
Control theory.
Computational Intelligence.
Control and Systems Theory.
Artificial Intelligence.
Systems Theory, Control .
Q342
006.3