Boundary Value Problems

This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. In a new chapter, the author introduces time scale calculus and fractional time scale calculus. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. This second edition includes new and updated examples and problems.

In addition, this book:

Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines
Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales
Demonstrates the concepts to readers using new and updated examples and practical problems