1st Edition

Fuzzy Impulsive Dynamic Equations on Time Scales

By Svetlin Georgiev, Khaled Zennir Copyright 2026
558 Pages
by Chapman & Hall

558 Pages
by Chapman & Hall

This book presents the main tools for investigations of the existence and uniqueness, as well as the existence, of multiple solutions for initial—and boundary—value problems for fuzzy impulsive dynamic equations on time scales. Time-scale theory is relatively new. The basic theory attempts to unify both approaches of dynamic modeling: difference and differential equations. Similar ideas have... Read more

Chapter 1 – Introduction. Chapter 2 – Fuzzy Calculus on Time Scales. Chapter 3 – Existence and Stability of First Order Fuzzy Impulsive Dynamic Equations. Chapter 4 – Boundary Value Problems for First Order Fuzzy Impulsive Dynamic Equations. Chapter 5 – Existence of Solutions of Second Order Fuzzy Impulsive Dynamic Equations. Chapter 6 – Boundary Value Problems for Second Order Fuzzy Impulsive Dynamic Equations. Chapter 7 – Oscillations of Fuzzy Impulsive Dynamic Equations. Chapter 8 – Linear Fuzzy Impulsive Dynamic Systems. Bibliography. Index

Biography

Svetlin Georgiev is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.

Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently an assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and longtime behavior.