Results 1 to 10 of about 75,669 (266)

More General Weighted-Type Fractional Integral Inequalities via Chebyshev Functionals

Fractal and Fractional, 2021
The purpose of this research paper is first to propose the generalized weighted-type fractional integrals. Then, we investigate some novel inequalities for a class of differentiable functions related to Chebyshev’s functionals by utilizing the proposed ...
Gauhar Rahman, Arshad Hussain, Asad Ali, Kottakkaran Sooppy Nisar, Roshan Noor Mohamed   +4 more
doaj   +3 more sources

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

Fractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom, Miguel Vivas-Cortez, Muhammad Amer Latif, Hijaz Ahmad   +3 more
doaj   +3 more sources

Entropy bump conditions for fractional maximal and integral operators

Concrete Operators, 2016
We investigate weighted inequalities for fractional maximal operators and fractional integral operators.We work within the innovative framework of “entropy bounds” introduced by Treil–Volberg. Using techniques developed by Lacey and the second author, we
Rahm Robert, Spencer Scott
doaj   +4 more sources

Certain Weighted Fractional Inequalities via the Caputo–Fabrizio Approach

Fractal and Fractional, 2022
The Caputo–Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau   +3 more
doaj   +3 more sources

Control and optimization of a half-car active suspension system with classical and modified PID-based controllers using metaheuristic techniques [PDF]

Scientific Reports
In automobiles and road vehicles such as buses, high-performance suspension systems are essential to ensure passenger comfort by minimizing the effects of road disturbances. Therefore, effective control of suspension systems is of great importance.
Faruk Emre Aysal, Onur Özdal Mengi, Aykut Fatih Güven, Mohit Bajaj, Vojtech Blazek, Iryna Hunko   +5 more
doaj   +2 more sources

On the weighted fractional integral inequalities for Chebyshev functionals

Advances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Sami Ullah Khan, Dumitru Baleanu, V. Vijayakumar   +4 more
doaj   +1 more source

On Weighted (k, s)-Riemann-Liouville Fractional Operators and Solution of Fractional Kinetic Equation

Fractal and Fractional, 2021
In this article, we establish the weighted (k,s)-Riemann-Liouville fractional integral and differential operators. Some certain properties of the operators and the weighted generalized Laplace transform of the new operators are part of the paper.
Muhammad Samraiz, Muhammad Umer, Artion Kashuri, Thabet Abdeljawad, Sajid Iqbal, Nabil Mlaiki   +5 more
doaj   +1 more source

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

Fractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
doaj   +1 more source

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source

On weighted Atangana–Baleanu fractional operators

Advances in Difference Equations, 2020
In this paper, we define the weighted Atangana–Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to define the weighted Atangana–Baleanu ...
Mohammed Al-Refai
doaj   +1 more source