Abstract: The existence and uniqueness of solutions of nonlinear fractional differential equations is the key point for stability theory and the design of feedback stabilization controllers. In this ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...

American couple bought a house in Italy for $13,150 and spent around $18,000 renovating it—take a look inside Maya Hawke gets married, with Uma Thurman and Ethan Hawke at her side These are the oldest ...

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve ...

During the first half of Sunday's Week 12 eventual defeat, the New York Jets appeared capable of upsetting the Baltimore Ravens. The Ravens took control of the game through two Derrick Henry ...

This year marks the 30th anniversary of Shuichi Shigeno's massively popular street racing manga, Initial D. The series centers on the life of Takumi Fujiwara, a high school student who digs ...

Imagine gathering ten of the world's top analysts in one room. These are not amateurs. They have access to Bloomberg terminals, FactSet, satellite data, alternative datasets, AI-powered tools, ...

Open-source, 1D quantum computing elastic wave equation solver. Figure 1: Calculated wave field of classical numerical solvers and the quantum computer IBM Brisbane for different evolution times in a ...

Contributed by Thomas Y. Hou; received January 13, 2025; accepted May 20, 2025; reviewed by Russel E. Caflisch, Javier Gómez-Serrano, Vladimir Sverak, and Terence C. Tao This contribution is part of ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...