Delve into the second part of an introductory lecture on fractional calculus. Explore advanced concepts and applications of this mathematical field, building upon the foundations established in the previous session. Gain insights into the unique properties and techniques used in fractional calculus, and understand its relevance in various scientific and engineering disciplines. This 30-minute lecture, presented by NPTEL-NOC IITM, offers a comprehensive continuation of the topic, providing a deeper understanding of fractional derivatives and integrals. Access translated content, including regional language text transcripts, subtitles, and downloadable materials, to enhance your learning experience. Engage with this complex mathematical subject and discover its potential applications in solving real-world problems.