New Conformable Fractional Integral Inequalities of Hermite–Hadamard Type for Convex Functions
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Through the conformable fractional integral inequalities, this work found some new inequalities of Hermite–Hadamard type for convex functions in the form of classical integrals.Abstract:
In this work, we established new inequalities of Hermite–Hadamard type for convex functions via conformable fractional integrals. Through the conformable fractional integral inequalities, we found some new inequalities of Hermite–Hadamard type for convex functions in the form of classical integrals.read more
Citations
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Journal ArticleDOI
Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
TL;DR: In this article, the generalized fractional integral inequalities of Hermite-Hadamard type for MT-convex functions were established for Riemann-Liouville fractional integrals as well as classical integrals.
Journal ArticleDOI
On generalized fractional integral inequalities for twice differentiable convex functions
TL;DR: New integral inequalities of midpoint and trapezoid type for twice differentiable convex functions in a form classical integral and Riemann–Liouville fractional integrals are obtained and applied to construct inequalities involving moments of a continuous random variable.
Journal ArticleDOI
On the Generalized Hermite─Hadamard Inequalities via the Tempered Fractional Integrals
TL;DR: This article first introduced the notion of λ -incomplete gamma function, and established a few inequalities of the Hermite–Hadamard (HH) type involved the tempered fractional integrals for the convex functions which cover the previously published result.
Journal ArticleDOI
Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel
TL;DR: In this paper, a connection between the Atangana-Baleanu and the Riemann-Liouville fractional integrals of a function with respect to a monotone function with nonsingular kernel was constructed.
Journal ArticleDOI
New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications
Thabet Abdeljawad,Thabet Abdeljawad,Thabet Abdeljawad,Pshtiwan Othman Mohammed,Artion Kashuri +4 more
TL;DR: In this paper, a few inequalities of Hermite-Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformably fractional parameter.
References
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Book
Theory and Applications of Fractional Differential Equations
TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Journal ArticleDOI
A new definition of fractional derivative
TL;DR: A new definition of fractional derivative and fractional integral is given and it is shown that it is the most natural definition, and the most fruitful one.
Journal ArticleDOI
On conformable fractional calculus
TL;DR: The basic concepts in this new simple interesting fractional calculus called conformable fractional derivative are set and the fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed.
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New properties of conformable derivative
TL;DR: This work has investigated in more detail some new properties of this derivative and some useful related theorems and some new definitions have been introduced.