Results 91 to 100 of about 141,207 (269)

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences
This paper develops a family of Hermite–Hadamard–Mercer-type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order ...
Jen Chieh Lo
doaj   +1 more source

Basic theory of initial value problems of conformable fractional differential equations

Advances in Difference Equations, 2018
In this paper, we discuss the basic theory of the conformable fractional differential equation Tαax(t)=f(t,x(t)),t∈[a,∞) $T^{a}_{\alpha}x(t)=f(t,x(t)), t\in[a,\infty)$, subject to the local initial condition x(a)=xa $x(a)=x_{a} $ or the nonlocal initial ...
Wenyong Zhong, Lanfang Wang
doaj   +1 more source

Plasmon‐Enhanced Second‐Harmonic Generation in Atomically Thin Crystalline Silver Nanostructures

Advanced Materials, EarlyView.
Atomically thin crystalline silver films combine vertical quantum confinement with lateral plasmonic field enhancement to boost second‐harmonic generation. Nanoribbon and nanotriangle arrays enable geometry‐tunable infrared plasmon resonances, producing strong SHG from deeply subwavelength metallic volumes compatible with silicon‐based nanophotonics ...
Saad Abdullah, Philipp K. Jenke, Andrew P. Weber, Álvaro Rodríguez Echarri, Vahagn Mkhitaryan, Fadil Iyikanat, Frederik Schiller, Philip Walther, J. Enrique Ortega, Lee A. Rozema, F. Javier García de Abajo   +10 more
wiley   +1 more source

Conformable Lagrangian Mechanics of Actuated Pendulum

Mathematics
In this paper, we construct the conformable actuated pendulum model in the conformable Lagrangian formalism. We solve the equations of motion in the absence of force and in the case of a specific force resulting from torques, which generalizes a well ...
Adina Veronica Crişan, Cresus Fonseca de Lima Godinho, Claudio Maia Porto, Ion Vasile Vancea   +3 more
doaj   +1 more source

Opial inequalities for a conformable ∆-fractional calculus on time scales

Mathematica Moravica
In this paper, an Opial-type inequality is introduced on time scale for a conformal ∆-fractional differentiable function of order a, a ∈ (0, 1]. In the case where the certain weight functions are included, one generalization of the Opial inequality is proved using conformal ∆-fractional calculus on time scales.
Mirković Tatjana, Bajić Tatjana
openaire   +3 more sources

Bridging Biosensing and Hardware‐Level Data Security With a Conjugated Radical Polymer

Advanced Materials, EarlyView.
A conjugated radical polymer provides two complementary functions within a common material platform: sensitive dopamine biosensing and device‐specific stochastic electrical responses for security. The work demonstrates a materials‐based approach for combining bioelectronic signal acquisition with hardware‐level authentication while maintaining the ...
Hoyeon Lee, Jaehyoung Ko, Dinh Cung Tien Nguyen, Yeong Kwon Kim, Daeun Kim, Soo Jin Cho, Sung Gap Im, Byung Chul Jang, Byung Joon Moon, Yongho Joo   +9 more
wiley   +1 more source

Novel analysis of fractional-order nonlinear generalized coupled Hirota-Satsuma and Korteweg-de Vries (KdV) systems

Boundary Value Problems
This study presents an analytical investigation of the fractional-order nonlinear third-order Korteweg-de Vries (KdV) equation and the generalized coupled Hirota-Satsuma KdV (HS-KdV) system using two powerful semi-analytical approaches: the Conformable ...
Azzh Saad Alshehry, Rasool Shah, Aisha M. Alqahtani   +2 more
doaj   +1 more source

Conformal geometry, contact geometry, and the calculus of variations

Duke Mathematical Journal, 2000
Let \((N,g_0)\) be a compact Riemannian manifold of dimension \(n\geq 3\). In this paper, the author considers the curvature equations \[ \sigma_k\left( \text{Ric}_g-{R_g\over 2(n-1)} \cdot g\right)= \text{constant} \tag{1} \] for metrics \(g\) in the conformal class of \(g_0\), where \(\text{Ric}_g\) and \(R_g\) are the Ricci tensor and the scalar ...
openaire   +2 more sources

Bacteria‐Trained, MnO2‐Armored Dendritic Cells for Immunotherapy

Advanced Materials, EarlyView.
MnO2‐armored, bacteria‐trained dendritic cells undergo tumor‐responsive mechanical and immunological transformation. The nanocoating masks immune ligands and maintains a mechanically stiff, quiescent state during circulation, while the tumor microenvironment removes the armor and restores cellular deformability and immune accessibility.
Zhao Guo, Min Ge, Zesong Ruan, Tingwang Shi, Mahyar Mahmoudi, Soohwan An, Na Kong, Yunfeng Chen, Han Lin, Wei Tao   +9 more
wiley   +1 more source

Kirigami‐Inspired Stretchable Silicon Solar Cell Modules as Portable Power Sources

Advanced Materials, EarlyView.
Kirigami‐inspired structured substrates are designed to craft stretchable silicon solar cell modules, showcasing remarkable stability upon deformation and retaining high output efficiency. This innovative approach holds great promise for the utilization of silicon modules for wearable devices.
Yusheng Zhang, Chenyi Zhang, Pei Wang, Yetai Cheng, Qi Liang, Yonghuan Li, Zhengdong Wei, Huanyu Zhou, Xinyi Kong, Minghua Li, Yifan Wang, Zhishan Bo, Yuqiang Liu, Antonio Facchetti   +13 more
wiley   +1 more source