Web1 jan. 2024 · The aim of this paper is to define the bicomplex two-parameter Mittag-Leffler function, its region of convergence, and analyticity. Various properties, including … Web13 apr. 2024 · The product of the S-function, \(\overline{\mathrm{H} }\) –function, and Aleph function with a general argument is just one of the innovative and practical fractional integrals that have been obtained based on the two operators described by Marichev-Saigo fractional integral in 1974. The fractional integrals presented here are extremely broad in …
Mittag-Leffler Functions and Their Applications - Hindawi
Web1 mrt. 2024 · The Prabhakar function (namely, a three parameter Mittag–Leffler function) is investigated. This function plays a fundamental role in the description of the anomalous dielectric properties in disordered materials and heterogeneous systems manifesting simultaneous nonlocality and nonlinearity and, more generally, in models of … Web5 dec. 2024 · Abstract The object of this paper is to establish a new generalized form of the frac tional kinetic equation with multiparameter K-Mittag-Leffler function. The solution … faith in the midst of the storm
Global Padé approximations of the generalized Mittag-Leffler function ...
WebAbstract: Nabla discrete fractional Mittag-Leffler (ML) functions are the key of discrete fractional calculus within nabla analysis since they extend nabla discrete exponential functions. In this article, we define two new nabla discrete ML functions depending on the Cayley-exponential function on time scales. While, the nabla discrete ML ... 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 Web7 sep. 2012 · The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential equations containing fractional derivatives). USAGE: MLF(alpha,beta,Z,P) is the Mittag-Leffler function E_{alpha,beta}(Z) evaluated with accuracy 10^(-P) for each element of Z. faith in the lord jesus christ