This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book will keep in mind the trade-off between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice.The second edition of the book has been expanded and now includes a discussion of additional, newly developed numerical methods for fractional calculus and a chapter on the application of fractional calculus for modeling processes in the life sciences.

• We started tracking this book on October 1, 2016.
• This book was $132.00 when we started tracking it.
• The price of this book has changed 230 times in the past 3,316 days.
• The current price of this book is $105.60 last checked one day ago.
• This lowest price this book has been offered at in the past 90 days is $98.22.
• This lowest price this book has been offered at in the past year is $95.33.
• The lowest price to date was $77.61 last reached on July 30, 2024.
• This book has been $77.61 one time since we started tracking it.
• The highest price to date was $132.00 last reached on August 1, 2024.
• This book has been $132.00 50 times since we started tracking it.

• Science & MathMathematicsPure MathematicsCalculus
• Science & MathMathematicsMathematical Analysis

• Text-to-Speech: Disabled
• Lending: Disabled
• File Size: 314 KB