Fractional calculus is deeply related to the dynamics of complicated real-world problems. Fractional operators are non-local and describe several natural phenomena in a better and systematic manner.

Calculus, the mathematical study of continuous change, stands as a cornerstone of advanced mathematics and its applications. As you delve into this powerful branch of mathematics, you’ll discover a ...

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 ...

Fractal calculus represents a significant extension of traditional calculus, providing a robust framework for the analysis of functions defined on irregular, non-differentiable fractal sets. This ...

Welcome to the GitHub repository for the 3D printing segment of our Honors Calculus 2 course at Montgomery College! This course uniquely integrates calculus concepts with 3D printing, specifically ...

In this paper, we describe two approaches to the definition of fractional derivatives. We investigate the accuracy of the analysis method for solving the fractional order problem. We also give some ...

Can you think of your life where nothing changed? Those moments are rare, as everything in our life is subject to transformation. The amount of food we eat every day, the number of steps we take, and ...

This book provides a concise introduction to stochastic calculus with some of its applications in mathematical finance, engineering and the sciences. Applications in finance include pricing of ...