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Article
Open AccessFractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer–Katugampola derivative
In the present research, we introduce the notion of convex stochastic processes namely; strongly p-convex stochastic processes. We establish a generalized version of Ostrowski-type integral inequalities for stron...
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Article
Open AccessThe Picard–Mann iteration with s-convexity in the generation of Mandelbrot and Julia sets
In recent years, researchers have studied the use of different iteration processes from fixed point theory in the generation of complex fractals. For instance, the Mann, Ishikawa, Noor, Jungck–Mann and Jungck–...
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Article
New Escape Criteria for Complex Fractals Generation in Jungck-CR Orbit
In recent years, researchers have studied the use of different iteration processes from fixed point theory for the generation of complex fractals. Examples are the Mann, the Ishikawa, the Noor, the Jungck-Mann...
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Article
Open AccessSome Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer t...
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Article
Open AccessHigher Order Methods of the Basic Family of Iterations via S-Iteration Scheme with s-Convexity
There are many methods for solving a polynomial equation and many different modifications of those methods have been proposed in the literature. One of such modifications is the use of various iteration proces...
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Article
Open AccessOn generalized strongly modified h-convex functions
We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequal...
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Article
Open Access\((h-m)\) -convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for ...
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Article
Open AccessRetraction Note: Velocity and shear stress for an Oldroyd-B fluid within two cylinders
The Editors-in-Chief are retracting this article [1] because it overlaps with previously published articles [2,3]. None of the authors have responded to correspondence about this retraction.
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Article
Erratum to: A Theoretical Examination of the Antioxidant Activity of NH2, OMe, and tert-Butyl Sesamol Derivatives and Their Drug Delivery with C60 Nanocage
The name of the second author should read
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Open AccessHermite–Hadamard-type inequalities for functions whose derivatives are η-convex via fractional integrals
In the present research, we develop some integral inequalities of Hermite–Hadamard type for differentiable η-convex functions. Moreover, our results include several new and known results as particular cases.
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Article
Warm vector inflation in brane-world scenario
Warm-vector inflation in the context of Brane-world model is being studied in the present work. We consider intermediate and logamediate inflationary scenario in high dissipative regime with variable and const...
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Article
Potential of Carbon, Silicon, Boron Nitride and Aluminum Phosphide Nanocages as Anodes of Lithium, Sodium and Potassium Ion Batteries: A DFT Study
In this study, the potential of boron nitride (B21N21), aluminum phosphide (Al21P21), carbon (C24) and silicon (Si24) nanocages as anode electrodes of Lithium-ion (Li-ion), Sodium-ion (Na-ion) and Potassium-ion (...
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Article
A Theoretical Examination of the Antioxidant Activity of NH2, OMe, and tert-Butyl Sesamol Derivatives and Their Drug Delivery with C60 Nanocage
The antioxidant activity of NH2, OMe, and tert-butyl derivatives of sesamol and their drug delivery with C60 were investigated in gas phase and water. Results show that, C60 can interact with NH2, OMe, and tert-b...
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Article
Open AccessComputational Analysis of topological indices of two Boron Nanotubes
There has been a recent debate that boron nanotubes can outperform carbon nanotubes on many grounds. The most stable boron nanotubes are made of a hexagonal lattice with an extra atom added to some of the hexa...
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Article
Open AccessHadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended genera...
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Article
Open AccessM-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
V-Phenylenic nanotubes and nanotori are most comprehensively studied nanostructures due to widespread applications in the production of catalytic, gas-sensing and corrosion-resistant materials. Representing ch...
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Article
Open AccessFixed point results for fractal generation in Noor orbit and s-convexity
In this note, we give fixed point results in fractal generation (Julia sets and Mandelbrot sets) by using Noor iteration scheme with s-convexity. Researchers have already presented fixed point results in Mann ...
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Article
Open AccessRelations between generalized von Neumann-Jordan and James constants for quasi-Banach spaces
Let C N ...
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Article
Open AccessRETRACTED ARTICLE: Velocity and shear stress for an Oldroyd-B fluid within two cylinders
This paper aims to explore the possible solutions for the movement of an Oldroyd-B fluid placed under certain conditions, i.e. the fluid is present within two cylinders, which are coaxial and oscillating within. ...
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Article
Open AccessContinuity of Riesz potential operator in the supercritical case on unbounded domain
The aim of this paper is to prove continuity of the Riesz potential operator ...
