Certain new proportional and Hadamard proportional fractional integral inequalities
نویسندگان
چکیده
Abstract The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in sense synchronous functions by employing proportional (PFI) and Hadamard integral. We establish concerning one- two-parameter integrals. also discuss particular cases.
منابع مشابه
Some new results using Hadamard fractional integral
Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results . Furthermore, other integral inequalities of reverse ...
متن کاملA Chaos-Based Communication Scheme Using Proportional and Proportional-Integral Observers
In this paper, we propose a new chaos-based communication scheme using the observers. The novelty lies in the masking procedure that is employed to hide the confidential information using the chaotic oscillator. We use a combination of the addition and inclusion methods to mask the information. The performance of two observers, the proportional observer (P-observer) and the proportional integra...
متن کاملAnti-windup Schemes for Proportional Integral and Proportional Resonant Controller
Problems like windup or rollover arise in a PI controller working under saturation. Hence antiwindup schemes are necessary to minimize performance degradation. Similar situation may occur in a Proportional Resonant (PR) controller in the presence of a sustained error input. Several methods can be employed based on existing knowledge on PI controller to counter this problem. In this paper few su...
متن کاملsome new results using hadamard fractional integral
fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order.the purpose of this work is to use hadamard fractional integral to establish some new integral inequalities of gruss type by using one or two parameters which ensues four main results . furthermore, other integral inequalities of reverse m...
متن کاملCertain Hermite-Hadamard type inequalities via generalized k-fractional integrals
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text]-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2021
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-021-02604-z