Functional Numerical Methods. Applications to Abstract Fractional Calculus

Functional Numerical Methods: Applicatio

📁 Functional Numerical Methods: Applications to Abstract Fractional Calculus

✍ George A. Anastassiou, Ioannis K. Argyros 📂 Library 📅 2018 🏛 Springer International Publishing 🌐 English

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

Functional Numerical Methods: Applicatio

📁 Functional Numerical Methods: Applications to Abstract Fractional Calculus

✍ George A. Anastassiou, Ioannis K. Argyros 📂 Library 📅 2017 🏛 Springer 🌐 English

Intelligent Numerical Methods: Applicati

📁 Intelligent Numerical Methods: Applications to Fractional Calculus

✍ George A. Anastassiou, Ioannis K. Argyros 📂 Library 📅 2016 🏛 Springer 🌐 English

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be al

Intelligent numerical methods : applicat

📁 Intelligent numerical methods : applications to fractional calculus

✍ Anastassiou, George A.; Argyros, Ioannis K 📂 Library 📅 2016 🏛 Springer 🌐 English

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be al

Intelligent Numerical Methods II: Applic

📁 Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

✍ George A. Anastassiou, Ioannis K. Argyros (auth.) 📂 Library 📅 2016 🏛 Springer International Publishing 🌐 English

In this short monograph Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, which involve Caputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators. These are studied for the fir

Functional Fractional Calculus

📁 Functional Fractional Calculus

✍ Shantanu Das (auth.) 📂 Library 📅 2011 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It i