Fractional Calculus: Introduction and Fundamentals - Part 1

Explore the foundations of fractional calculus in this introductory lecture. Delve into the fundamental concepts and principles that underpin this advanced mathematical field. Gain insights into the historical development and theoretical framework of fractional calculus, setting the stage for more in-depth study. Learn about the key differences between traditional calculus and its fractional counterpart, and discover how fractional calculus extends the capabilities of mathematical analysis. Examine practical applications and real-world examples that demonstrate the relevance of fractional calculus across various scientific and engineering disciplines. This lecture serves as an essential starting point for students and researchers interested in expanding their mathematical toolkit and understanding the powerful analytical tools offered by fractional calculus.