Web19 dec. 2024 · In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N. Berberan-Santos, to show that the three-parameter Mittag-Leffler function has an integral representation on the positive real axis. Some of integrals are also presented. View via Publisher proceedings.sbmac.org.br Save to LibrarySave Web1 mrt. 2024 · The non-dimensional developed fractional model for momentum, thermal and diffusion equations based on Prabhakar fractional operator has been solved analytically …
Geometric Studies on Mittag-Leffler Type Function Involving a …
Web31 mrt. 2024 · Several extensions of the classical Mittag-Leffler function, including multi-parameter and multivariate versions, have been used to define fractional integral and derivative operators. In this paper, we consider a function of one variable with five parameters, a special case of the Fox–Wright function. WebThis paper investigates the Mittag-Leffler stability (MLS) of nonlinear uncertain dynamic systems (NUDSs) with impulsive effects involving the random-order fractional derivative (ROFD) under the fuzzy concept. The major tool used in this paper is Lyapunov’s direct method, which brings high efficiency in surveying the stability theory of dynamic systems. … growing time for squash
When is a product of two two-parameter Mittag-Leffler functions …
WebThe Mittag–Leffler function arises naturally in the solutions of fractional integro-differential equations. For a detailed study on the Mittag–Leffler function and its applications, refer to [8,9,10,11]. Prabhakar Equation 1.3) studied a singular integral equation with a generalized Mittag–Leffler three-parameter function in the kernel ... WebABSTRACT In this paper,we present a new modification of the newly developed semi-analytical method named the Optimal Auxilary Function Method (OAFM) for fractional-order equations using the Caputo operator, which is named FOAFM.The mathematical theory of FOAFM is presented and the effectiveness of this method is proven by using it with well … WebComputationally aided protein identification of mass spectrometry (MS) data has been a challenge for the proteomic community since the field's inception. As the community attempts to address challenges such as computational site assignment of posttranslational modifications (PTMs), selective reaction monitoring data analysis, and the transition of … filofax refills uk only