Results 121 to 130 of about 1,345 (201)

On a Generalized Mittag-Leffler Function and Fractional Integrals

Fundamental Journal of Mathematics and Applications
The object of this paper is to study a generalized Mittag-Leffler function and a modified general class of functions which is reducible to several special functions. convergent conditions of these functions are discussed. Some results pertaining to the generalized Mittag-Leffler function and generating relations involving these functions are ...
openaire   +2 more sources

LAPLACE TRANSFORMATION AND MITTAG-LEFFLER FUNCTION FOR THE SOLUTION OF DAMPED OSCILLATOR EQUATION WITH FRACTIONAL ORDER

Barekeng
Fractional calculus has emerged as an active area of research due to its ability to model complex dynamical systems with memory effects and anomalous diffusion.
Gusrian Putra, Meysi Supmawati, Lutfi Mardianto   +2 more
doaj   +1 more source

Fractional calculus and generalized Mittag-Leffler type functions

, 2017
version 2 (mise à jour)In this paper, the generalized fractional integral operators of two generalized Mittag-Leffler type functions are investigated. The special cases of interest involve the generalized Fox–Wright function and the generalized M-series ...
Lavault, Christian
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A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

Abstract and Applied Analysis
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations.
B. B. Jaimini, null Meenu, Suman Sharma, S. D. Purohit, D. L. Suthar   +4 more
doaj   +1 more source

On a recurrence relation of generalized Mittag-Leffler function

Surveys in Mathematics and its Applications, 2009
Summary: The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function \(E_{\alpha ,\beta }^{\gamma ,q}(z)\). At the end several special cases are also discussed.
Ajay K. Shukla, Jyotindra C. Prajapati
openaire   +2 more sources

Generalized Mittag-Leffler Function: Properties in Fractional Calculus and Integral Transforms

In this work, we introduce a new generalized Mittag-Leffler function defined via the extended Beta function and establish its integral and differential representations.
Z. Bin-Alhag, Ali, Bin-Saad, Maged G.
core   +1 more source

Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function

, 2018
In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas, FARID, Ghulam, ABBAS, Ghulam, Ghulam Farid   +3 more
core   +1 more source

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2018
Farid G, Khan KA, Latif N, Rehman AU, Mehmood S.   +4 more
europepmc   +1 more source

Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Abbas G, Khan KA, Farid G, Rehman AU.
europepmc   +1 more source

Construction of a Mittag-Leffler Analysis and its Applications [PDF]

, 2015
Motivated by the results of infinite dimensional Gaussian analysis and especially white noise analysis, we construct a Mittag-Leffler analysis. This is an infinite dimensional analysis with respect to non-Gaussian measures of Mittag-Leffler type which we
Jahnert, Florian
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