A NOTE ON PRABHAKAR DERIVATIVE

Prabhakar's derivative is an important milestone in the history of fractional calculus. By introducing the generalized Mittag-Leffler function and showing how it can solve singular integral equations, Prabhakar provided a powerful mathematical tool. This contribution remains highly valuable and continues to influence modern science and engineering, ensuring its importance for many years ahead. This survey explores the mathematical foundation, properties, and applications of the Prabhakar fractional derivative in diverse scientific and engineering fields. The paper provides an overview of its recent historical development, mathematical formulation, key properties, and potential research directions.