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[PDF] Top 20 Fractional differential equations for the generalized Mittag Leffler function

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Fractional differential equations for the generalized Mittag Leffler function

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 ... See full document

8

Generalized Mittag Leffler function method for solving Lorenz system

Generalized Mittag Leffler function method for solving Lorenz system

... The Mittag-Leffler function and its generalizations used to obtain a new method for solving system of nonlinear fractional differential equations (Lorenz ...of fractional ... See full document

7

Autoconvolution equations and generalized Mittag-Leffler ‎functions

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

7

Generalizations of some fractional integral inequalities via generalized Mittag Leffler function

Generalizations of some fractional integral inequalities via generalized Mittag Leffler function

... In Section , we give the generalizations of the Hermite-Hadamard type inequalities via generalized fractional integrals. Also we prove a version of the Hadamard inequality for convex functions via a ... See full document

10

Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution

Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution

... has appeared repeatedly in a variety of contexts such as combinatorics of creation, anni- hilation operators, and perturbative computation of Feynman integrals. Motivated by this observation, they [] used the Gauss form ... See full document

17

TRIPlE DIRICHLET AVERAGE AND FRACTIONAL DERIVATIVE INVOLVING WITH GENERALIZED K-MITTAG-LEFFLER FUNCTION

TRIPlE DIRICHLET AVERAGE AND FRACTIONAL DERIVATIVE INVOLVING WITH GENERALIZED K-MITTAG-LEFFLER FUNCTION

... The Dirichlet average of a function is certain kind of integral average with respect to Dirichlet measure. The concept of Dirichlet average was introduced by Carlson [1,2,4] It is studied, among others, by zu ... See full document

14

Fractional derivatives of the generalized Mittag Leffler functions

Fractional derivatives of the generalized Mittag Leffler functions

... the fractional derivatives with the Shukla ...the generalized MLFs and expanded the fractional derivatives of the generalized ...new fractional derivatives and exponential or ... See full document

9

Fuzzy subordination results for fractional integral associated with generalized Mittag-Leffler function

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

A Chebyshev spectral method based on operational matrix for fractional differential equations involving non singular Mittag Leffler kernel

A Chebyshev spectral method based on operational matrix for fractional differential equations involving non singular Mittag Leffler kernel

... is one of them. It seems that this condition is also important for system (1) with Mittag- Leffler non-singular kernels and as mentioned in [27], we should consider the initial condi- tion carefully. This imposes ... See full document

23

Mittag–Leffler stability for a new coupled system of fractional order differential equations on network

Mittag–Leffler stability for a new coupled system of fractional order differential equations on network

... Furthermore, Li [8] investigated a coupled system of fractional-order differential equa- tions on network with feedback controls (CSFDENFCs). By using the contraction map- ping principle, Lyapunov method, graph ... See full document

9

Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function

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

Turán type inequalities for generalized Mittag Leffler function

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

On the solutions of certain fractional kinetic equations involving k Mittag Leffler function

On the solutions of certain fractional kinetic equations involving k Mittag Leffler function

... Riemann–Liouville fractional derivative (see [17]) and is today frequently used in ...of fractional differential equations in classical form, that ... See full document

13

On fractional derivatives with generalized Mittag Leffler kernels

On fractional derivatives with generalized Mittag Leffler kernels

... the fractional operators with three parameter generalized Mittag-Leffler kernels and we present the integration by parts formulas, and finally we obtain the related fractional Euler–Lagrange ... See full document

15

Fractional Calculus of Generalized Mittag Leffeler Function with Jacobi Polynomial

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

5

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

... some generalized fractional integral inequalities of Gr¨ uss type by use of generalized fractional integral operators due to the Mittag-Leffler ... See full document

11

On a Fractional Master Equation and a Fractional Diffusion Equation

On a Fractional Master Equation and a Fractional Diffusion Equation

... and fractional master equation by obtaining the corresponding waiting time density in terms of generalized Mittag-Leffler function ... See full document

5

Fractional differintegral operators of the generalized Mittag-Leffler type function

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 are ... See full document

7

Fractional operators with generalized Mittag Leffler k function

Fractional operators with generalized Mittag Leffler k function

... generalized fractional integrals with the Mittag-Leffler k-function. The results have been established in terms of the generalized Wright hypergeometric function. We have also ... See full document

14

A generalization of the Mittag–Leffler function and solution of system of fractional differential equations

A generalization of the Mittag–Leffler function and solution of system of fractional differential equations

... of fractional differential equa- tions into the analysis of lateral motion of an elastic column fixed at one end and loaded at the ...linear fractional differential equations with constant ...the ... See full document

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