Results 41 to 50 of about 290 (254)

Weighted Trapezoid and Midpoint Inequalities and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces
This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues.
Hüseyin Budak, Abdelghani Lakhdari, Mehmet Zeki Sarikaya   +2 more
doaj   +1 more source

A remark on midpoint-type inequalities for conformable fractional integrals

Miskolc Mathematical Notes
This paper proves an equality for the case of differentiable functions involving the conformable fractional integrals. By using this equality, we establish new midpoint-type inequalities via convex functions with the aid of the conformable fractional ...
Fatih Hezenci, Hüseyin Budak
doaj   +1 more source

Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

Mathematics, 2022
In this work, we introduce new definitions of left and right-sides generalized conformable K-fractional derivatives and integrals. We also prove new identities associated with the left and right-sides of the Hermite-Hadamard-Fejér type inequality for ϕ ...
Humaira Kalsoom, Zareen A. Khan
doaj   +1 more source

Electrostatically‐Stabilized PEG‐Free Lipid Nanoparticles for Systemic Nucleic Acid Delivery

Advanced Functional Materials, EarlyView.
This work describes non‐PEGylated layered lipid nanoparticles (nonPEG LLNPs), a gene delivery platform that improves upon standard PEGylated LNPs via electrostatic adsorption of charged polymers. nonPEG LLNPs maintain colloidal stability under biological stresses, enhance circulation time, and mitigate accelerated blood clearance and hepatic ...
Namita Nabar, Deeksha Kumaresh, Eduardo Nombera Bueno, Mae Pryor, Paula T. Hammond   +4 more
wiley   +1 more source

Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions

Boundary Value Problems, 2023
In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable mappings. Conformable fractional integrals are used to derive these inequalities. Furthermore, we provide our results by
Fatih Hezenci, Hasan Kara, Hüseyin Budak   +2 more
doaj   +1 more source

On new integral inequalities using mixed conformable fractional integrals

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
Summary: During the past two decades or so, fractional integral operators have been one of the most important tools in the development of inequalities theory. By this means, a lot generalized intergral inequalities involving various the fractional integral operators have been presented in the literature.
Çelik, Barış, Set, Erhan
openaire   +5 more sources

Silicone Phase Behavior Resolves the Softness–Surface Functionality Trade‐Off in Emerging Stretchable Electronics

Advanced Functional Materials, EarlyView.
Ultrasoft silicone elastomers often sacrifice surface functionality for mechanical compliance. In Mold Star, low‐molecular‐weight species form a dispersed phase that weakens the network and passivates the surface. Solvent extraction removes this phase, unexpectedly improving both extensibility and metallization performance, enabling conductive ...
Gloria M. D'Amaral, Rahaf Nafez Hussein, Tiago Carneiro Gomes, Jordan E. Nicholson, Lauren J. Renaud, Emily J. Addison, Simon Rondeau‐Gagné, Tricia Breen Carmichael   +7 more
wiley   +1 more source

A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach [PDF]

Surveys in Mathematics and its Applications
In this paper, we first recall the concept o f the multiplicative conformable fractional integrals (MCFI) and their several properties. Then, we establish the Ostrowski type inequalities in two distinct senses for multiplicative conformable fractional ...
Büşra Betül Ergün, Hüseyin Budak
doaj  

Microfluidic Nano‐Assembly of Red‐Blood‐Cell (RBC) Lipids and Components for Engineering Extracellular Vesicles

Advanced Healthcare Materials, EarlyView.
Engineered red blood cell‐derived extracellular vesicles (eRBCEVs) are synthesized via controlled microfluidic assembly from native RBC lipids, enabling tunable encapsulation of proteins, nucleic acids, nanoparticles, and viral vectors. The platform demonstrates reproducible nanoscale architecture, preserved membrane composition, and functional cargo ...
Chiranth K. Nagaraj, Xilal Y. Rima, Kim T. Nguyen, Courtney Culkins, Nana Boateng, Jacob Doon‐Ralls, Alejandro Bresolin, Xin Huang, Hong Li, Vahedi Amid, Ajeet Pal Singh, Dharti Shantaram, Anastasiia Amari, Mangesh D. Hade, Nicholas R. Merriam, Zachary D. Schultz, Scott Q. Harper, Nizar Y. Saad, Setty M. Magaña, Willa A. Hsueh, Rachel E. Kopec, Blaise R. Kimmel, Andre F. Palmer, Eduardo Reátegui   +23 more
wiley   +1 more source

New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals

Journal of Mathematical Sciences and Modelling
In this study, a new Newton-type inequality form for multiplicative convex functions is derived using multiplicative conformable fractional integrals. The developed new form presents an inequality that has not been encountered before in literature.
Büşra Betül Ergün, Hüseyin Budak
doaj   +1 more source