[PDF] Top 20 Decomposition of Generalized Mittag Leffler Function and Its Properties
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Decomposition of Generalized Mittag Leffler Function and Its Properties
... gamma function, . The Mittag-Leffler function is the di- rect generalisation of the exponential function to which it reduces for 1 ... See full document
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Fractional differential equations for the generalized Mittag Leffler function
... the properties, applications, and different extensions of various hyper- geometric operators of fractional ...their properties and applications have been considered by several authors (see [3–22] and ... See full document
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Generalized Mittag Leffler function method for solving Lorenz system
... The purpose of using fractional differential equations is that The fractional calculus approach provides a powerful tool for the description of memory and hereditary properties of various materials and processes ... See full document
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Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution
... the generalized power series, generalized hypergeometric fam- ilies and also arises as weighted Poisson ...and generalized Poisson distributions, this distribution is also able to cater for under-, ... See full document
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Further results on the generalized Mittag Leffler function operator
... various properties of the operator defined by (). These properties are useful in solving applied problems of science, engineering and technology such as fractional kinetic equations, frac- tional ... See full document
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Turán type inequalities for generalized Mittag Leffler function
... gamma function. The Mittag-Leffler function plays an important role in several branches of mathematics and engineering sciences, such as statistics, chem- istry, mechanics, quantum physics, informatics ... See full document
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Fractional derivatives of the generalized Mittag Leffler functions
... Wiman function. The early and lengthy work focused on the essential properties of the MLFs as entire functions and remained on the theoretical level of pure ... See full document
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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
... a generalized triple integral involving the generalized multiple-index Mittag-Leffler function, the multivariable Aleph-function, a class of polynomials of several variables a ... See full document
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Integral involving a generalized multiple-index Mittag-Leffler function,trigonometric functions, a class of polynomials multivariable Aleph-function and multivariable I-function I
... a generalized multiple-index Mittag-Leffler function,trigonometric functions, multivariable Aleph-function, the multivariable I-function defined by Prasad [4] and general class ... See full document
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Estimation of Integrals Associated with Generalized Galue' Type Struve Function
... involving generalized Galu e′ type Struve function in terms of Fox-Wright ...the generalized Galu e ′ type Struve function has a close relationship with some known special functions such as ... See full document
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Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function
... the concepts of fractional calculus, Işcan et al. [] derived new refinements of fractional Hermite-Hadamard’s inequality via harmonically convex functions. The main motivation of this paper is to obtain new refinements of ... See full document
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Fractional Calculus of Generalized Mittag Leffeler Function with Jacobi Polynomial
... LEFT-SIDED GENERALIZED FRACTIONAL INTEGRATION OF THE MITTAG-LEFFLER FUNCTION USING JACOBI POLYNOMIAL In this section we consider the left-sided generalized fractional integral formula of[r] ... See full document
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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
... a generalized integral involving the product of three Bessel functions, the multivariable Aleph-function, a class of polynomials of several variables a generalized multiple-index ... See full document
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨ uss ...the ... See full document
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Generalizations of some fractional integral inequalities via generalized Mittag Leffler function
... Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order. Also they provide upper and lower bounds for solutions of fractional boundary value ... See full document
10
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) ... See full document
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On fractional derivatives with generalized Mittag Leffler kernels
... Below we investigate the corresponding Euler–Lagrange equations for a Lagrangian pos- sessing the left new Caputo derivative with three parameter Mittag-Leffler kernel. Theorem 6 Let 0 < α ≤ 1, μ > 0, γ ∈ N, ... See full document
15
On a Fractional Master Equation and a Fractional Diffusion Equation
... In a recent paper El-Wakil and Zahran [5] obtained a relation between CTRW and fractional master equation by obtaining the corresponding waiting time density in terms of generalized Mittag-Leffler ... See full document
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A new representation of extended Mittage-Leffler function and its properties
... contains Gamma function, Beta function, Hypergeometric function, Bessel’s function, Mittag-Leffler.. 14.[r] ... See full document
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Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function
... Srivastava and Tomovski [25] proved that the generalized Mittag-Leffler function is an entire function in the complex z-plane. Using Srivastava and Tomovski [25, theorem 1, P-201], we ... See full document
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