A Type of Fractional Kinetic Equations Involving extended k-Generalized Mittag-Leffler Function

Key Points

• The aim is to create a generalized form of fractional kinetic equations through an extended k-generalized Mittag-Leffler function.
• Developed a new form of fractional kinetic equation based on the extended k-generalized Mittag-Leffler function.
• Discussed solutions of these equations in relation to the Mittag-Leffler function and evaluated the Laplace transform.
• Achieved general solutions that encompass both known and novel results related to fractional kinetic equations.