In this article, first, we deduce an equality involving the Atangana–Baleanu (AB)-fractional integral operator. Next, employing this equality, we present some novel generalization of Ostrowski type inequality using the Hölder inequality, the power-mean ...
H. Ahmad +5 more
semanticscholar +1 more source
Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
doaj +1 more source
New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type inequality via a new fractional integral operator associated with the Caputo–Fabrizio derivative are presented.
S. Sahoo +4 more
semanticscholar +1 more source
Generalizations of some Integral Inequalities for Fractional Integrals [PDF]
Abstract In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
Farid Ghulam, ur Rehman Atiq
openaire +3 more sources
Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function
The comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a ...
S. Sahoo +6 more
semanticscholar +1 more source
Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Local Fractional Integral Hölder-Type Inequalities and Some Related Results
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen +3 more
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E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
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Some fractional integral inequalities via $ h $-Godunova-Levin preinvex function
In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different ...
Sabila Ali +5 more
semanticscholar +1 more source
Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator
The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq +5 more
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