In this paper, the Kharrat–Toma transforms of the Prabhakar integral, a Hilfer–Prabhakar
(HP) fractional derivative, and the regularized version of the HP fractional derivative are …

Analytical Solutions for the Nonlinear Homogeneous Fractional Biological Equation using a
Local Fractional Operator Page 1 Journalof Educationfor Pure Science- University of Thi-Qar …

In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional
derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed …

The primarily object of this article is to derive the solutions of modified fractional kinetic
equations (MFKEs) containing the incomplete Aleph functions by using the application of …

This article investigates the use of the Elzaki transform on a generalized composite fractional
derivative. To establish the framework for this inquiry, numerous essential lemmas about the …

In this paper, we obtain the new generalized integral transform of the Prabhakar integral,
Prabhakar derivative, and Hilfer–Prabhakar fractional derivatives. Using these results, we …

The main goal of this paper is to propose a new decomposition method for finding solutions
to nonlinear partial fuzzy differential equations (NPFDE) through the fuzzy Sawi …

In the present work, the natural transform iterative method (NTIM) is implemented to solve
the biological population model (BPM) of fractional order. The method is tested for three …

In this paper, we are interested on the Shehu transform of both Prabhakar and Hilfer–
Prabhakar fractional derivative and its regularized version. These results are presented in …

In this article, natural transform of k-Prabhakar integral, k-Prabhakar derivative, k-Hilfer-
Prabhakar fractional derivative (k-HPFD) are calculated. In addition, we also obtain the …