1st Edition
Conformable Dynamic Equations on Time Scales
346 Pages
3 B/W Illustrations
by
Chapman & Hall
346 Pages
3 B/W Illustrations
by
Chapman & Hall
346 Pages
3 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L’Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional derivatives have appeared. Recently, a new definition of fractional derivative, called the "fractional conformable derivative," has been introduced. This... Read more
1. Conformable Dynamic Calculus on Time Scales. 2. First Order Linear Dynamic Equations. 3. Conformable Dynamic Systems on Time Scales. 4. Linear Conformable Inequalities. 5. Cauchy Type Problem for a Class Nonlinear Conformable Dynamic Equations. 6. Higher Order Linear Conformable Dynamic Equations with Constant Coefficients. 7. Second Order Conformable Dynamic Equations. 8. Second-Order Self-Adjoint Conformable Dynamic Equations. 9. The Conformable Laplace Transform. Appendix A. Derivatives on Banach Spaces. Appendix B. A Chain Rule.
Biography
About the Authors
Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems.
Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales and integral equations.
