Mittag- Leffler type function.
Fractional differintegral operators of the generalized Mittag-Leffler type function
... In the present paper we study a new function called as R-function [6], which is an extension of the gen- eralized Mittag-Leffler functions. We derive the relations that exist between the ...
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Singular integral equation involving a multivariable analog of Mittag Leffler function
... In this paper, we obtain a Schläfli’s type contour integral representation for the multi- variable polynomials given in (.). Next, we give some multilinear and mixed multilateral generating functions. We also ...
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Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function
... generalized Mittag- Leffler ...the Mittag-Leffler function generalize the integrals of Riemann-Liouville type, and the results obtained in this paper can be developed via other different types of ...
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Fractional differential equations for the generalized Mittag Leffler function
... The results in Theorems 1 and 2 can be easily specialized to yield the corresponding for- mulas involving simpler functions like Mittag-Leffler-type functions and extended con- fluent hypergeometric functions ...
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The \((k,s)\) fractional calculus of k Mittag Leffler function
... different type of ...generalized Mittag-Leffler function, since the Mittag-Leffler function is more appropriate in expressing nature than a power func- ...
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Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution
... The MLFD ( λ , α , β ) model is a generalization/extension of the HP ( λ , β ) and MLFD (λ, α, 1). Therefore the MLFD (λ, α, β) model has been fitted and compared with the HP (λ, β), MLFD (λ, α, 1) to ascertain the ...
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An Integral Involving Generalized Multivariable Mittag-Leffler Function
... of Mittag-Leffler function ; its various properties including differentiation,Laplace ,Beta, and Mellin transforms,and generalized hypergeometric series form and its relationship with other ...
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... uss type inequalities have been established (see for example [7, 9, ...uss type by use of generalized fractional integral operators due to the Mittag-Leffler ...
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A Lyapunov type inequality for fractional operators with nonsingular Mittag Leffler kernel
... nonsingular Mittag-Leffler function kernels from order α ∈ [, ] to arbitrary order α > ...Lyapunov type inequality for a ABR boundary value problem with order < α ≤ and then obtained the ...
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Autoconvolution equations and generalized Mittag-Leffler functions
... generalized Mittag- Leffler function especially in the theory of frac- tional calculus and detect some of their appli- cations in the physics and ...generalized Mittag- Leffler ...
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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 ...
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An anomalous diffusion model based on a new general fractional operator with the Mittag Leffler function of Wiman type
... In this article, an anomalous diffusion model via a new Liouville-Caputo general fractional operator with the Mittag-Leffler function of Wiman type is investigated for the first time. The convergence of ...
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Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function
... Hadamard type inequality for harmonically convex func- tions via generalized fractional integral operators defined in (3) and ...Hadamard type inequalities given in [1, 2, 6, ...Fej´er-Hadamard type ...
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Estimation of Integrals Associated with Generalized Galue' Type Struve Function
... e′ type Struve function in terms of Fox-Wright ...′ type Struve function has a close relationship with some known special functions such as Struve function, Mittag-Leffler ...
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Turán type inequalities for generalized Mittag Leffler function
... Turán type inequalities for Mittag-Leffler functions by considering monotonicity for special ratios of sections for series of Mittag- Leffler ...Turán type in- equalities for the following ...
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Certain integrals involving multivariate Mittag Leffler function
... [1], Mittag-Leffler [2, 3], Humburt [4], Humbert and Agrawal [5], and Wiman [6, 7], where C is the set of complex ...on Mittag-Leffler functions is presented in Dzherbashyan [9, ...and type σ = 1; see, ...
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Vol 8, No 5 (2017)
... 4. THE IMAGE OF M-L TYPE E-FUNCTION UNDER ERDELYI- KOBER (E-K) OPERATOR Ξ η + , θ 0 Theorem 4.1: If convergence condition (3), (9) and (12) are satisfied also η , θ ∈ C , ℜ ( η ). > 0 and ℜ ( ) θ > 0 ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... In this section , we give an alternative shorter method for deriving the solution of a generalized diffusion equation investigated by Hilfer [16] (2000). Below we define the (right/left-sided) fractional derivative of ...
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Siago’s $K$-Fractional Calculus Operators
... The aim of present paper is to define a pair of k–Saigo fractional integral and derivative operators involving generalized k–hypergeometric function. The Saigo-k generalized fractional operators involving ...
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Multiple Integrals Transformation Involving A Generalized Multiple-Index Mittag - Leffler Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function
... multiple-index Mittag-Leffler function, multivariable Aleph-function, the multivariable I-function defined by Prasad [4] and general class of polynomials of several ...
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