Results 51 to 60 of about 306,804 (149)

Certain new weighted estimates proposing generalized proportional fractional operator in another sense

Advances in Difference Equations, 2020
The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( GPFI $\mathcal{GPFI}$ ) operator in another sense.
Thabet Abdeljawad, Saima Rashid, A. A. El-Deeb, Zakia Hammouch, Yu-Ming Chu   +4 more
doaj   +1 more source

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

Study of HIV model via recent improved fractional differential and integral operators

AIMS Mathematics, 2023
In this article, a new fractional mathematical model is presented to investigate the contagion of the human immunodeficiency virus (HIV). This model is constructed via recent improved fractional differential and integral operators.
Abd-Allah Hyder , Mohamed A. Barakat , Doaa Rizk, Rasool Shah, Kamsing Nonlaopon   +4 more
doaj   +1 more source

A comprehensive review of Grüss-type fractional integral inequality

AIMS Mathematics
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq, Sotiris K. Ntouyas, Hijaz Ahmad , Asif Ali Shaikh, Bandar Almohsen , Evren Hincal   +5 more
doaj   +1 more source

Some inequalities obtained by fractional integrals of positive real orders

Journal of Inequalities and Applications, 2020
The primary objective of this study is to handle new generalized Hermite–Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann–Liouville fractional integral operators into one
Mustafa Gürbüz, Yakup Taşdan, Erhan Set   +2 more
doaj   +1 more source

Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integrals simultaneously.
Khaled Aldwoah, Ammara Nosheen, Faez A. Alqarni, Khuram Ali Khan, Masud Ahmad, Rostin M. Mabela, Mohammad W. Alomari   +6 more
wiley   +1 more source

Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative

Advances in Difference Equations, 2020
In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition.
Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut, Kanokwan Sitthithakerngkiet, Alhassan Ibrahim   +5 more
doaj   +1 more source

On the fractional Laplacian of a function with respect to another function

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.
The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez, Joel E. Restrepo, Jean‐Daniel Djida   +2 more
wiley   +1 more source

Generalized methods for predicting biological response to mixed radiation types and calculating equieffective doses (EQDX)

Medical Physics, Volume 51, Issue 1, Page 637-649, January 2024.
Abstract Background Predicting biological responses to mixed radiation types is of considerable importance when combining radiation therapies that use multiple radiation types and delivery regimens. These may include the use of both low‐ and high‐linear energy transfer (LET) radiations. A number of theoretical models have been developed to address this
Sumudu Katugampola, Robert F. Hobbs, Roger W. Howell   +2 more
wiley   +1 more source

The Minkowski’s inequality by means of a generalized fractional integral

AIMS Mathematics, 2018
We use the definition of a fractional integral, recently proposed by Katugampola, to establisha generalization of the reverse Minkowski’s inequality. We show two new theorems associatedwith this inequality, as well as state and show other inequalities ...
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
doaj   +1 more source