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[PDF] Top 20 Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function

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Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function

Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function

... of inequalities. In particular, integral inequalities have been obtained via convex ...[–]. Hermite and Hadamard independently obtained an integral in- equality that provides us a necessary ... See full document

13

Minkowski’s inequality for the AB fractional integral operator

Minkowski’s inequality for the AB fractional integral operator

... the fractional calculus has an important role in diverse scientific fields due to its several applications in dynamical problems including signals, hydrodynamics, dynamics, fluid, viscoelastic theory, biology, ... See full document

12

Fractional operators with generalized Mittag Leffler k function

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

Inequalities for \(\mathbb{B}\) convex functions via generalized fractional integral

Inequalities for \(\mathbb{B}\) convex functions via generalized fractional integral

... general HermiteHadamard inequality for B-convex functions is proven, then we give the relation between this inequality and the previous inequalities which contain the Riemann–Liouville and ... See full document

15

Hermite Hadamard type inequalities for the generalized k fractional integral operators

Hermite Hadamard type inequalities for the generalized k fractional integral operators

... known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another ...several Hermite-Hadamard type ... See full document

17

General fractional integral inequalities for convex and m convex functions via an extended generalized Mittag Leffler function

General fractional integral inequalities for convex and m convex functions via an extended generalized Mittag Leffler function

... general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function and deduce some results al- ready published in [1, 5, 6, 8, ...a ... See full document

12

Generalizations of some fractional integral inequalities via generalized Mittag Leffler function

Generalizations of some fractional integral inequalities via generalized Mittag Leffler function

... the Hermite-Hadamard type inequalities via generalized fractional ...the Hadamard inequality for convex functions via a generalized fractional integral ... See full document

10

New generalized Hermite Hadamard type inequalities and applications to special means

New generalized Hermite Hadamard type inequalities and applications to special means

... interesting Hermite-Hadamard type inequalities involving Hadamard fractional integrals for the functions satisfying mono- tonicity, convexity and s-e-condition by utilizing the ... See full document

15

Some new fractional integral inequalities for exponentially m convex functions via extended generalized Mittag Leffler function

Some new fractional integral inequalities for exponentially m convex functions via extended generalized Mittag Leffler function

... Remark 1.3 From Definition 1.2 we clearly see that the 1-convex function is a convex function in the ordinary sense and the 0-convex function is the star shaped function. If we take m = 1, then ... See full document

17

Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

... the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler ...extended ... See full document

11

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

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 and their particular cases are es- ...a generalized fractional Korkine’s identity is ...uss fractional integral inequality via ... See full document

11

Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Hermite–Hadamard type inequalities for fractional integrals via Green’s function

... Riemann–Liouville fractional HermiteHadamard type inequalities and the generalized HermiteHadamard type inequalities by using Green’s function and Jensen’s ... See full document

15

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

... the Hadamard type inequality for harmonically convex func- tions via generalized fractional integral operators defined in (3) and ...the Hadamard type inequalities given in [1, 2, 6, ... See full document

14

\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function

\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function

... Convexity is very important in the field of mathematical inequalities. It is a basic concept in mathematics, its extensions and generalizations have been defined in various ways by using the different techniques. For ... See full document

10

Integral inequalities for some convex functions via generalized fractional integrals

Integral inequalities for some convex functions via generalized fractional integrals

... the HermiteHadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the ... See full document

14

Generalized k fractional integral inequalities associated with \((\alpha ,m)\) convex functions

Generalized k fractional integral inequalities associated with \((\alpha ,m)\) convex functions

... Riemann–Liouville fractional integrals is given in ...integrable function. Also let g be an increasing and positive function on (a, b], having a continuous derivative g on (a, ...right-sided ... See full document

14

Generalized Hermite Hadamard type inequalities involving fractional integral operators

Generalized Hermite Hadamard type inequalities involving fractional integral operators

... using generalized fractional integral ...new Hermite-Hadamard type inequalities, which are generalizations of the results in [] to the case λ = α, σ () =  and w = ... See full document

10

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

On fractional derivatives with generalized Mittag Leffler kernels

On fractional derivatives with generalized Mittag Leffler kernels

... fractional integrals of order α, μ, γ when γ = 1 has not been treated above. However, it is possible to formulate the particular cases γ = 2, 3, 4, . . . with the help of Laplace trans- forms. In fact, the AB ... See full document

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