Mittag-Leffler special function
Integral involving a generalized multiple-index Mittag-Leffler function,trigonometric functions, a class of polynomials multivariable Aleph-function and multivariable I-function I
... multiple-index Mittag-Leffler function; the product of trigonometric functions, the multivariable Aleph-function, a class of polynomials of several variables a sequence of functions and the ...
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A generalization of the Mittag–Leffler function and solution of system of fractional differential equations
... important special functions—Mittag–Leffler functions (AMS 2000 Mathematics Subject Classification ...The Mittag–Leffler function with two parameters is defined by the series expansion [5, ...
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Fractional differential equations for the generalized Mittag Leffler function
... physics, special functions and their generalizations are used for finding solutions of the initial or boundary value problems for partial differential equations and fractional differential ...the special and ...
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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 ...
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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
... Aleph- function, a class of polynomials of several variables a generalized multiple-index Mittag-Leffler function, and the multivariable I-function defined by ...general function ...
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Turán type inequalities for generalized Mittag Leffler function
... for Mittag-Leffler functions by considering monotonicity for special ratios of sections for series of Mittag- Leffler ...generalized Mittag-Leffler function via the p-gamma ...
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Some results on the generalized Mittag Leffler function operator
... generalized Mittag-Leffler function operator introduced by Shukla and Prajapati ...Some special cases of the established results are also deduced as ...the Mittag-Leffler function occurs ...
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Further results on the generalized Mittag Leffler function operator
... generalized Mittag-Leffler function opera- ...generalized Mittag-Leffler function introduced and stud- ied by Saxena and Nishimoto ...the Mittag- Leffler function occurs ...generalized ...
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Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function
... of Mittag-Leffler function have led many researchers in the theory of special functions for exploring the possible generalizations and ...the Mittag-Leffler function ...
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Fractional operators with generalized Mittag Leffler k function
... of Mittag-Leffler functions have led many researchers in the theory of special functions to exploring possible generalizations and ...the Mittag-Leffler function, the so-called Mittag-Leffler ...
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The \((k,s)\) fractional calculus of k Mittag Leffler function
... of Mittag-Leffler function in the theory of special functions for exploring some of their gen- eralizations and ...the Mittag-Leffler function E ...
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Fractional differintegral operators of the generalized Mittag-Leffler type function
... new function called as R-function [6], which is an extension of the gen- eralized Mittag-Leffler ...are special cases of the main results derived in this ...
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Triple integral involving a generalized multiple-index Mittag-Leffler function, a class of polynomials multivariable Aleph-function and multivariable I-function I
... multiple-index Mittag-Leffler function, the multivariable Aleph-function, a class of polynomials of several variables a sequence of functions and the multivariable I-function defined by ...
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Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function
... multiple-index Mittag-Leffler function, and the multivariable I-function defined by ...general function of several variables studied so ...the special functions of one and ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... Abstract In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the solution is that of Laplace and ...
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Integral involving a generalized multiple-index Mittag-Leffler function, product of Bessel's functions, a class of polynomials multivariable Aleph-function and multivariable I-function
... multiple-index Mittag-Leffler function , the product of Bessel's functions, the multivariable Aleph-function, a class of polynomials of several variables a sequence of functions and the ...
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Autoconvolution equations and generalized Mittag-Leffler functions
... the solution can be expressed as the generalized Mittag-Leffler functions. Also, in special case the solution is reduced to the Volterra µ-function. Theorem 2.1 (Schouten-Vanderpol Theorem) ...
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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 type of ...
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Estimation of Integrals Associated with Generalized Galue' Type Struve Function
... Struve function in terms of Fox-Wright ...Struve function has a close relationship with some known special functions such as Struve function, Mittag-Leffler function, ...
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Integral involving the extension of the generalized multiple-index Mittag-Leffler function,Bessel functions, a class of polynomials and multivariable I-functions I
... multiple-index Mittag-Leffler function, and product of two multivariable I-functions defined by ...general function of several variables studied so ...the special functions of one and ...
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