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In this article, we aim to develop new  k , s -fractional integral and differential operators containing  S -functions as kernels in a form of generalized  k -Mittag-Leffer functions. We also set up various properties of such operators. Furthermore, we consider a variety of implications of the major outcomes that will be very useful in the implementation of scientific, engineering, and technical problems.

journal of function spaces

Estimates of Classes of Generalized Special Functions and Their Application in the Fractional <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")"> <mrow> <mi>k</mi> <mo>,</mo> <mi>s</mi> </mrow> </mfenced> </math>-Calculus Theory

Estimates of Classes of Generalized Special Functions and Their Application in the Fractional k , s -Calculus Theory

Estimates of Classes of Generalized Special Functions and Their Application in the Fractional $(k, s)$ -Calculus Theory