On Weighted (k, s)-Riemann-Liouville Fractional Operators and Solution of Fractional Kinetic Equation
Muhammad Samraiz, Muhammad Umer, Artion Kashuri, Thabet Abdeljawad, Sajid Iqbal, Nabil Mlaiki
Abstract
In this article, we establish the weighted (k,s)-Riemann-Liouville fractional integral and differential operators. Some certain properties of the operators and the weighted generalized Laplace transform of the new operators are part of the paper. The article consists of Chebyshev-type inequalities involving a weighted fractional integral. We propose an integro-differential kinetic equation using the novel fractional operators and find its solution by applying weighted generalized Laplace transforms.
Topics & Concepts
MathematicsLaplace transformFractional calculusType (biology)Mathematical analysisDifferential operatorPure mathematicsEcologyBiologyFractional Differential Equations SolutionsMathematical Inequalities and ApplicationsDifferential Equations and Boundary Problems