Fractal Delay Equations

This chapter delves into the realm of initial value problems in fractal delay equations, offering a comprehensive exploration of their mathematical properties and solution methodologies. Fractal delay equations play a crucial role in modeling systems with fractal time and intricate delay dynamics, making them indispensable tools in various scientific and engineering disciplines. The chapters in this book are organized to provide a systematic understanding of initial value problems in fractal delay equations. We begin by establishing the theoretical foundations, discussing the fundamental concepts of fractal calculus, and elucidating the mathematical properties of fractal delay equations.