Results 141 to 150 of about 1,676,787 (274)

Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]

, 2017
Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
openaire   +1 more source

A Self‐Evolving Agentic Framework for Metasurface Inverse Design

Laser &Photonics Reviews, EarlyView.
Turning a target optical response into working inverse‐design code normally demands specialized computational‐electromagnetics and software‐engineering expertise. A self‐evolving agentic framework lowers this barrier: from a natural‐language request, it writes the optimization code that drives a physical solver and improves itself by revising human ...
Yi Huang, Bowen Zheng, Yunxi Dong, Hong Tang, Huan Zhao, S. M. Rakibul Hasan Shawon, Hualiang Zhang   +6 more
wiley   +1 more source

Compact Single‐Shot Incoherent Edge Detection With a Polarization‐Multiplexed Metalens

Laser &Photonics Reviews, EarlyView.
A polarization‐sensitive metalens enables single‐shot incoherent edge detection by generating two polarization‐dependent images and digitally subtracting them to realize a high‐pass optical transfer function. ABSTRACT Edge detection under incoherent illumination is highly desirable for compact vision systems but remains challenging due to the lack of ...
Weiyan Li, Xiaotong Li, Youngsun Jeon, Hyeonsu Heo, Jaekyung Kim, Gyeongtae Kim, Shiqi Hu, Minsu Jeong, Cherry Park, Seokho Lee, Le Dai, Mu Qiao, Qi Zheng, Zheng Zhu, Zhaogang Dong, Chunying Guan, Jinhui Shi, Junsuk Rho   +17 more
wiley   +1 more source

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

AI‐Enabled Cardiac Rehabilitation for Patients With Heart Failure After Myocardial Infarction: Current Status and Future Prospects

Medicine Advances, EarlyView.
This article illustrates the current dilemmas of myocardial infarction patients after traditional cardiac rehabilitation, as well as the feasibility of using artificial intelligence to optimize and assist with rehabilitation programs such as by integrating mobile apps, wearables, ECGs, medication, vital signs, and assessment data; finally, the AI ...
Xinyuan Huang, Di Chen, Yumin Cai, Zihan Chen, Dongmei Xie, Chaoquan Peng, Yuanlong Li   +6 more
wiley   +1 more source

Generalized Steffensen Inequalities for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these inequalities using the local fractional integral.
Sarıkaya, Mehmet Zeki, Tunç, Tuba, Erden, Samet   +2 more
openaire   +3 more sources

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source