Введение в дробное исчисление

Introduction to Fractional Calculus offers a comprehensive yet accessible entry point into the fascinating world of fractional-order calculus. Bridging classical mathematical theory with modern applications, this book explores the definitions, properties, and solutions of fractional derivatives and integrals. With detailed discussions on Riemann–Liouville, Caputo, and Grünwald–Letnikov formulations, it caters to students, researchers, and professionals in mathematics, physics, and engineering. Emphasis is placed on the intuition behind the theory, practical methods of solving fractional differential equations, and the role of fractional calculus in modeling memory and hereditary systems in nature.