Euler-Type Integral Operator Involving <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi mathvariant="script">S</mml:mi></mml:math>-Function

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.

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

Chandak

Suthar

Al‐Omari

et al. 2021

Journal of Function Spaces

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Euler-Type Integral Operator Involving S-Function

Abstract: The object of the present paper is to establish some interested theorems on Euler-type integrals involving S-function, which is defined by Saxena and Daiya. Further, we reduce some special cases involving various known functions like the k-Mittag-Leffler function, K-function, and M-series.

Cited by 1 publication

References 16 publications

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

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Euler-Type Integral Operator Involving S-Function

Cited by 1 publication

References 16 publications

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

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Product

Resources

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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