This article aims to establish certain image formulas associated with the fractional calculus
operators with Appell function in the kernel and Caputo-type fractional differential operators …

We study some properties of generalized multivariable Mittag‐Leffler function. Also we
establish two theorems, which give the images of this function under the generalized …

In this paper, we establish extensive form of the fractional kinetic equation involving
generalized Galué type Struve function using the technique of Laplace transforms. The …

The goal of this paper is to develop some differential equation formulas for the extended
generalized Mittag-Leffler function (EGMLF) using Caputo type Marichev-Saigo-Maeda …

The objective of this article is to present several new integral equalities involving the
multivariate Mittag-Leffler functions which are associated with the Laguerre polynomials. To …

We establish fractional integral and derivative formulas by using Marichev‐Saigo‐Maeda
operators involving the S‐function. The results are expressed in terms of the generalized …

In this paper, we have studied a unified multi‐index Mittag–Leffler function of several
variables. An integral operator involving this Mittag–Leffler function is defined, and then …

This paper presents a reformulation of the Leibniz product rule as a finite sum that expresses
the fractional derivative of the product of two differentiable functions. This paper then proves …

In this paper, we introduce the extended type k-Mittag–Leffler function of two variables and
find its relation with other special functions. We also establish fractional integral and …

In this article, the k‐fractional‐order integral and derivative operators including the k‐
hypergeometric function in the kernel are used for the k‐Wright function; the results are …