نتایج جستجو برای: generalized mittag leffler function

تعداد نتایج: 1355200  

Journal: :Journal of Inequalities and Applications 2014

Journal: :The European Physical Journal Special Topics 2017

In this article, we propose the definition of one parameter matrix Mittag-Leffler functions of fractional nabla calculus and present three different algorithms to construct them. Examples are provided to illustrate the applicability of suggested algorithms.

Journal: :Mathematical and Computer Modelling 2003

2015
Serkan Araci Erdoğan Şen Kamil Oruçoğlu

Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making use of the Caputo-fractional derivative, we derive some new interesting identities of these polynomials. It turns out that some known results are derived as special cases.

Journal: :Applied Mathematics and Computation 2015
Krishnan Balachandran V. Govindaraj Margarita Rivero Juan J. Trujillo

In this paper, we study the controllability of linear and nonlinear fractional damped dynamical systems, which involve fractional Caputo derivatives, with different order in finite dimensional spaces using the Mittag-Leffler matrix function and the iterative technique. A numerical example is provided to illustrate the theory.

2015
Sergei Rogosin Hari M. Srivastava

This is a survey paper illuminating the distinguished role of the Mittag-Leffler function and its generalizations in fractional analysis and fractional modeling. The content of the paper is connected to the recently published monograph by Rudolf Gorenflo, Anatoly Kilbas, Francesco Mainardi and Sergei Rogosin.

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