Hermite-Hadamard Inequalities for a New Class of Generalized-(s,m) via Fractional Integral [PDF]
This paper defines a new generalized (s,m)-σ convex function using the σ convex functions and provides some applications and exact results for this kind of functions.
Yalçın, Abdüllatif +2 more
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Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions [PDF]
We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’
Jessada Tariboon +2 more
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Continuous random variables with Hadamard fractional integral
In this paper, we establish some new inequalities of expectation and variance of continuous random variables by using the Hadamard fractional integral operator.
Khellaf Ould Melha +1 more
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Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral [PDF]
In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Juan Francisco Gómez +4 more
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Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals
In this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
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Hadamard functional fractional integrals and derivatives and fractional differential equations
This paper introduces a general type of new version of Hadamard fractional integrals and derivatives with respect to another function and studies some of their properties. Further, we prove the existence results for fractional differential equations with this Hadamard type fractional derivative.
K. Balachandran +3 more
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Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators [PDF]
In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
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In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz +3 more
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
Bashir Ahmad +3 more
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New estimations for Hadamard inequality via k-Riemann-Liouville fractional integral operators [PDF]
In this note, we give some necessary concepts and definitions, firstly. Then, we use k-fractional integral operators to establish some new integral inequalities for different kinds of convex functions.
Akdemir A.O. +2 more
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