Results 61 to 70 of about 294,693 (227)

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  

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

Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives [PDF]

, 2016
17 ...
openaire   +2 more sources

Optical Detection of Cellular Signals at Material Interfaces

Advanced Healthcare Materials, EarlyView.
Emerging functional materials are transforming optical detection of cellular signals. This review highlights optical techniques that exploit the unique optical properties of diverse materials to detect and quantify cellular electrical, chemical, and mechanical signals, and discusses key opportunities and challenges.
Xuchen Ren, Jitong Ren, Zixin Zhang, Koney Eungkon Kim, Francis L. Hong, Yuecheng Peter Zhou   +5 more
wiley   +1 more source

Single‐Chromophore Homojunction Organic Solar Cells: A Path to Simplicity and Efficiency

Advanced Materials, EarlyView.
This perspective discusses how the intrinsic optoelectronic properties of organic semiconductors, their molecular packing in the solid‐state, and internal energetic gradients within a device can enable free‐charge carrier generation in homojunction organic solar cells.
Shaun McAnally, Paul L. Burn, Paul E. Shaw   +2 more
wiley   +1 more source

Azobenzene's Cross‐Scale Optics and Photonics: Molecular Photoswitching, Mesoscopic Material Motions, and Adaptive Devices

Advanced Materials, EarlyView.
Azobenzene photoswitches translate molecular‐scale E/Z photoisomerization into macroscopic material responses and device‐level photonic functions. This Review highlights how azobenzene research has evolved from molecular photochemistry to photoalignment, mass migration, photomechanics, and heat release, ultimately enabling holography, reconfigurable ...
Heeju Son, Soyul Kwak, Heerin Noh, Minsang Kim, Doyeon Noh, Subhayan Chakraborty, Jaewon Lee, YongDeok Cho, Kyeongsoo Kim, Taewoong Eom, Moonyoung Kim, Jangwon Kim, Hoyoung Lee, Soyoung Lee, Jaehun Kim, Grace G. D. Han, Shin‐Tson Wu, Stefano Oscurato, Arri Priimagi, Marina Saphiannikova, Seungwoo Lee   +20 more
wiley   +1 more source

Neuromorphic Electronics for Intelligence Everywhere: Emerging Devices, Flexible Platforms, and Scalable System Architectures

Advanced Materials, EarlyView.
The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj, Roshni Satheesh Babu, Yuxin Xia, Eva Bestelink, Radu Sporea, Nikos Hastas, Ioannis Zeimpekis, Dimitra G. Georgiadou, Sayani Majumdar   +8 more
wiley   +1 more source

Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators

Mathematics, 2019
Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman, Zafar Ullah, Aftab Khan, Erhan Set, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose ...
Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemir, Thabet Abdeljawad   +4 more
doaj   +1 more source

Conformable Fractional Integral Equations of the Second Kind

, 2022
Neste artigo, provamos a existência e unicidade da solução envolvendo a equação integral fracionária conforme e damos estimativas de erro das aproximações usando o princípio da ...
openaire   +1 more source