[PDF] Top 20 Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution
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Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution
... the k-gamma function and k-Pochhammer symbol have been used to extend and investigate such special func- tions and integral operators as (for example) the k-beta function, k-zeta ... See full document
17
Siago’s $K$-Fractional Calculus Operators
... of k–Saigo fractional integral and derivative operators involving generalized k–hypergeometric ...Saigo-k generalized fractional operators involving ... See full document
11
On the solutions of certain fractional kinetic equations involving k Mittag Leffler function
... The fractional-order calculus (FOC) constitutes a branch of mathematics dealing with dif- ferentiation and integration under an arbitrary order of the operation, that is, the order can be any real or even ... See full document
13
Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution
... HP distribution is an important model for applications and is able to handle under- and over- dispersion, where there are relatively fewer models with this feature, it is of interest to add further ... See full document
17
Fractional differential equations for the generalized Mittag Leffler function
... Fractional calculus (derivative 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 ... See full document
8
Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... some generalized fractional integral inequalities and their particular cases are es- ...a generalized fractional Korkine’s identity is ...uss fractional integral inequality via ... See full document
11
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 ... See full document
7
On fractional derivatives with generalized Mittag Leffler kernels
... tional calculus [1–4] to relate left and right type fractional integrals and ...right fractional sums and differences [36, ...of fractional derivatives with Mittag-Leffler function ... See full document
15
The \((k,s)\) fractional calculus of k Mittag Leffler function
... of Mittag-Leffler functions defined in () and () such as their various generalizations and applications in different fields, the reader may refer to [, , , ] and in particular the work of Saigo and ... See full document
12
Fractional operators with generalized Mittag Leffler k function
... of fractional differential equa- tions, and they are associated with a wide range of problems in many areas of mathematics and ...of Mittag-Leffler functions have led many researchers in the theory of special ... See full document
14
Fractional derivatives of the generalized Mittag Leffler functions
... derived function yc agree well with the numerical results for the RL derivative of y1 and the Caputo derivative of y1, ...primitive function y1 is ... See full document
9
Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function
... of Generalized k- Mittag-Leffler function and A Class of Function in the Open Unit Disk ⅅ = 𝑧 ∈ ℂ ∶ 𝑧 < 1 , Which are expressed in terms of the A Class of ... See full document
8
Fuzzy subordination results for fractional integral associated with generalized Mittag-Leffler function
... Abstract: By making use of fractional integral, we study fuzzy subordination methods to obtain some interesting results of operator defined by generalized Mittag-Leffler[r] ... See full document
13
Further results on the generalized Mittag Leffler function operator
... a generalized Mittag-Leffler function opera- ...the generalized Mittag-Leffler function introduced and stud- ied by Saxena and Nishimoto ...the Mittag- Leffler function ... See full document
12
Fractional Weierstrass Function by Application of Jumarie Fractional Trigonometric Functions and Its Analysis
... Holderian function and the above discus- sion it is clear that fractional Weierstrass function is also Holder continuous with Holder exponent ( 2 − s ) , a fractional ...of fractional ... See full document
16
Some results on the generalized Mittag Leffler function operator
... This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this ... See full document
6
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 ...following generalized Mittag-Leffler function via the p-gamma ... See full document
6
Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function
... via generalized fractional integral operators defined in (3) and ...via fractional integral operators defined in (3) and (4) and reproduce such results given in [1, 2, 6, ... See full document
14
Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function
... the generalized Mittag- Leffler ...the generalized fractional integral operators containing the Mittag-Leffler function generalize the integrals of Riemann-Liouville type, and the ... See full document
13
Matrix Mittag-Leffler functions of fractional nabla calculus
... nabla calculus is a new branch of mathematics which deals with arbitrary order sums and differences and their properties in nabla ...of fractional nabla difference dates back to the works of Gray & ... See full document
13
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