A DIFFERENT PERSPECTIVE OF M-WHITTAKER EQUATION VIA APPLICATIONS

Abstract

In this study, is established the mathematical structure of the M-derivative homogeneous and nonhomogeneous Whittaker equation. The greatest superiority of the vigorous M-derivative used is that it incorporates Mittag-Leffler function; this enables us to preferable sense the representation of the solution Whittaker equation. Various applications of the nonhomogeneous M-Whittaker equation are given and representation of the solution is obtained. The representation of solution to Whittaker equation is obtained using the Laplace transform. The Laplace transform is a powerful method for representation of solution to the Whittaker equation. The results obtained present in graphs based on various order. More sensitive results are achieved. © 2026, Jomard Publishing. All rights reserved.