[PDF] Top 20 Certain integrals involving multivariate Mittag Leffler function
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Certain integrals involving multivariate Mittag Leffler function
... polynomials. To emphasize our main results, we also consider some important special cases. The main results of our paper are quite general in nature and yield a very large number of integral equalities involving ... See full document
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On the solutions of certain fractional kinetic equations involving k Mittag Leffler function
... the Mittag-Leffler (M-L) function re- mained almost unknown to the majority of ...the Mittag-Leffler function and its generalizations, their direct involvement in problems of physics, biology, ... See full document
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Fractional operators with generalized Mittag Leffler k function
... transforms involving the Gauss hypergeometric functions as their ...fractional integrals with Mittag-Leffler ...hypergeometric function. The Euler integral k-transformation for ... See full document
14
The \((k,s)\) fractional calculus of k Mittag Leffler function
... established certain Hermite-Hadamard type inequalities via generalized k-fractional integrals, Grüss type integral inequalities for generalized Riemann-Liouville k-fractional integrals and (k, ... See full document
12
Fractional differential equations for the generalized Mittag Leffler function
... and integrals) is very old as the conventional calculus and has bern recently applied in various areas of engineering, science, finance, applied math- ematics, and bio engineering (see, ...equations ... See full document
8
Estimation of Integrals Associated with Generalized Galue' Type Struve Function
... formulae involving generalized Galu e′ type Struve function in terms of Fox-Wright ...Struve function has a close relationship with some known special functions such as Struve function, ... See full document
7
TRIPlE DIRICHLET AVERAGE AND FRACTIONAL DERIVATIVE INVOLVING WITH GENERALIZED K-MITTAG-LEFFLER FUNCTION
... The Dirichlet average of a function is certain kind of integral average with respect to Dirichlet measure. The concept of Dirichlet average was introduced by Carlson [1,2,4] It is studied, among others, by ... See full document
14
Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function
... Işcan et al. [] established new fractional estimates of Hermite-Hadamard-type inequal- ities via harmonic convex functions. For more details on Hermite-Hadamard inequalities involving fractional integrals; ... See full document
13
The extended Mittag Leffler function and its properties
... The Mittag- Leffler function appears as the solution of fractional order differential equations and frac- tional order integral ...the Mittag-Leffler function are as follows: studies of the kinetic ... See full document
10
A CERTAIN CLASS OF MULTIPLE GENERATING FUNCTIONS INVOLVING MITTAG-LEFFLER S FUNCTIONS
... (3.7) Now putting α i = α = 1 and β i = λ i + 1 {i=1,2,…,n} and β=λ+1 and replacing z/n+1 by − z 2 / 4 and x i by x i 2 {i=1,2,…,n}, respectively, in (2.9) and using the relation (1.7), we get a multiple generating ... See full document
10
A New Class of Integrals Involving Extended Mittag–Leffler Functions
... of Mittag-Leffler functions in the theory of special functions for exploring the generalizations and some ...the Mittag-Leffler function E α,β 1 (z) of (3), which is defined ... See full document
10
Multiple Integrals Transformation Involving A Generalized Multiple-Index Mittag - Leffler Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function
... multiple integrals transformation involving the multivariable Aleph- function, a class of polynomials of several variables a generalized multiple-index Mittag-Leffler function, ... See full document
9
Fractional differintegral operators of the generalized Mittag-Leffler type function
... In this paper we derive a new generalization of Mittag-Leffler function and obtain the relations between the R-function and Saigo-Maeda fractional calculus operators. The results are also ... See full document
7
Generalized Mittag Leffler function method for solving Lorenz system
... The Mittag-Leffler function and its generalizations used to obtain a new method for solving system of nonlinear fractional differential equations (Lorenz ... See full document
7
Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function
... k- Mittag-Leffler function and A Class of Function in the Open Unit Disk ⅅ= 𝑧 ∈ ℂ ∶ 𝑧 < 1 ...generalized Mittag-leffler function. We are also trying to find ... See full document
8
Solution of One –dimensional Fractional Diffusion Equations Involving Caputo Fractional Derivatives in terms of the Mittag Leffler Functions
... the Mittag –Leffler function, which is gaining importance day by day due its importance and and utility and applications in applied problems of physical sciences and ... See full document
12
Integral involving a generalized multiple-index Mittag-Leffler function,trigonometric functions, a class of polynomials multivariable Aleph-function and multivariable I-function I
... integral involving the generalized multiple-index Mittag-Leffler function; the product of trigonometric functions, the multivariable Aleph-function, a class of polynomials of several ... See full document
10
Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function
... integral involving the product of a generalized multiple-index Mittag-Leffler function,product of three Bessel functions, multivariable Aleph-function, the multivariable ... See full document
9
A generalization of the Mittag–Leffler function and solution of system of fractional differential equations
... It is found that fractional calculus can describe memory phenomena and hereditary properties of various materials and processes [2–7, 10]. In recent decades, fractional cal- culus has been applied to different fields of ... See full document
12
Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution
... Pillai and Jayakumar (1995) proposed a class of discrete Mittag-Leffler (DML) distri- butions having pgf P(z) = E(z X ) = 1/[1 + c(1 − z) α ]. The DML distribution arises as a mix- ture of the Poisson ... See full document
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