Function (biology)

Pure mathematics

Mathematical physics

Biology

Interpretation (philosophy)

Functional equation

Differential equation

Applied mathematics

Kinetic energy

Computer science

Classical mechanics

Evolutionary biology

Physics

Mathematics

Mathematical analysis

Ordinary differential equation

Mittag-Leffler function

Programming language

Partial differential equation

Fractional calculus

Advances in Difference Equations

The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function $E^{\gamma,\rho}_{k,\zeta,\eta}(\cdot)$ . The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function