[PDF] Top 20 The extended Mittag Leffler function and its properties
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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 ... See full document
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Some properties of the Mittag Leffler functions and their relation with the Wright functions
... The Mittag-Leffler function is an important function that finds widespread use in the world of fractional ...the Mittag-Leffler function plays an analogous role in the solution of ... See full document
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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, ...various properties, ... 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
6
Some new fractional integral inequalities for exponentially m convex functions via extended generalized Mittag Leffler function
... An important class of convex functions, which is called the class of exponential convex functions, was introduced and studied by Antczak [63] and Dragomir et al. [64]. Alirezai and Mathar [65] investigated their ... See full document
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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 ...composition ... See full document
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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 ... See full document
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Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution
... t f (t) dt. (.) The generalized fractional integral operators of types (.) and (.) have been intro- duced by Marichev [] and later extended and studied by Saigo and Maeda []. These operators are known ... See full document
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Fractional differential equations for the generalized Mittag Leffler function
... Samko et al. [20, p. 194, Eq. (10.47) and Section 10.3]) and later extended and stud- ied by Saigo and Maeda [18, p. 393, Eqs. (4.12) and (4.13)]. Note that the generalized fractional derivative operators (for ... 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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Integral transform methods for solving fractional dynamic equations on time scales
... transform, its properties, convolution theorem, and examples of solution of fractional dynamic equations on time scales in terms of Mittag-Leffler ... See full document
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General fractional integral inequalities for convex and m convex functions via an extended generalized Mittag Leffler function
... In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for ... See full document
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The \((k,s)\) fractional calculus of k Mittag Leffler function
... their properties and applications can be found in the research of ...has its own advantages and is appropriate for applications to a different type of ...generalized Mittag-Leffler function, ... See full document
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Certain geometric properties of Mittag Leffler functions
... then f is called a typically real function. The class of typically real functions T was intro- duced by Robertson [26]. A function f ∈ S is said to be convex in the direction of imaginary axis if and only ... See full document
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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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Analysis of Discrete Mittag - Leffler Functions
... The analogous theory for nabla discrete fractional calculus was initiated by Miller & Ross [21], Gray & Zhang [10] and Atici & Eloe [6], where basic approaches, definitions, and properties of ... 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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Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function
... It is always in the focus of researchers especially working in the field of mathematical anal- ysis. Now a days it is under consideration via a variety of fractional integral operators and fractional differential ... See full document
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A New Class of Integrals Involving Extended Mittag–Leffler Functions
... the extended Mittag-Leffler function based on the well known Lavoie and Trot- tier integral formula and the obtain results are express in term of extended Wright-type ... See full document
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The composition of extended Mittag Leffler functions with pathway integral operator
... Mittag-Leffler functions play a vital role in determining the solutions of fractional differ- ential and integral equations which are associated with an extensive variety of problems in diverse areas of mathematics ... See full document
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