Generalized ß-Impulsive Equations
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In recent decades, the rapid development of quantum calculus—calculus without limits—together with the theory of impulsive differential equations has opened new and fertile directions for research. The synthesis of these two domains has led to the emergence of generalized quantum impulsive differential equations, a field that captures both discrete–continuous hybrid behavior and sudden state changes within a non-classical calculus setting.
This book aims to provide both a rigorous theoretical foundation and practical analytical tools for researchers, graduate students, and specialists working in nonlinear analysis, dynamic equations, and applied mathematics.
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Svetlin G. Georgiev 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, dynamic calculus on time scales. He has authored several books for CRC press, including: Boundary Value Problems on Time Scales Volume I, (2021); Boundary Value Problems on Time Scales Volume II, (2021); Multiple Fixed Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs, (2022); Multiplicative Differential Calculus, (2022); Multiplicative Analytic Geometry, (2022); Multiplicative Differential Equations- Volume I, (2023); Multiplicative Differential Equations- Volume II, (2023); Multiplicative Partial Differential Equations, (2023); General Quantum Numerical Analysis, (2024); General Quantum Variational Calculus, (2024); Fuzzy Impulsive Dynamic Equations on Time Scales, (2025).
Khaled Zennir is a professor at Qassim University, Saudi Arabia. His research interests lie in nonlinear partial differential equations, stochastic dynamic equations, fractional derivatives. He has published more than twelve books with CRC Press, including: Boundary Value Problems on Time Scales Volume I, (2021); Boundary Value Problems on Time Scales Volume II, (2021); Multiple Fixed Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs, (2022); Multiplicative Differential Calculus, (2022); Multiplicative Analytic Geometry, (2022); Multiplicative Differential Equations- Volume I, (2023); Multiplicative Differential Equations- Volume II, (2023); Multiplicative Partial Differential Equations, (2023); General Quantum Numerical Analysis, (2024); General Quantum Variational Calculus, (2024); Fuzzy Impulsive Dynamic Equations on Time Scales, (2025).
