Recently, I had the opportunity to hear about calculus and differential equations. Back when I was a student, I was the type of person who thought, “What on earth is the point of this?” However, as an ...

Abstract: Partial differential equations (PDEs) are ubiquitous to the mathematical description of physical phenomena. Typical examples describe the evolution of a field in time as a function of its ...

We have heard the phrase "I will never use calculus again after I graduate from school" until we are sick of it. It is true that we do not need to find the derivative of y = x^2 at the supermarket ...

Russell (Rust Scientific Library) helps develop high-performance computations involving linear algebra, sparse linear systems, numerical mathematics (continuation), differential equations, statistics, ...

Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus. However, until ...

ABSTRACT: This paper studies the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In chemical reaction network theory, ordinary differential equations are used to model ...

One of the landmarks of Kyoto, the home of Japanese mathematician Masaki Kashiwara, is the Kamo River. At certain points, there are stepping stones that allow residents to cross the river away from ...