Fractional Calculus Courses and Certifications

Introduction to Fractional Calculus: Wolfram U

Compute fractional derivatives with FractionalD and CaputoD, then use LaplaceTransform and Mittag-Leffler functions to solve systems of linear fractional differential equations in Wolfram Language.

• Wolfram U
• 49 minutes
• Self-Paced
• Free Online Course

NPTEL-NOC IITM

Fractional Calculus: Introduction and Fundamentals - Part 1

2 ratings

Explore fractional calculus fundamentals in this introductory lecture, laying the groundwork for advanced mathematical concepts and applications in various fields.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Fractional Calculus: Introduction and Fundamentals - Lecture 19

Explore advanced concepts in fractional calculus, building on previous knowledge to deepen understanding of this specialized mathematical field.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Wolfram

Fractional Calculus, Langevin Equation and Quaternions

Explore advanced mathematical concepts through fractional calculus, solving Langevin equations as half-order differential equations, and working with quaternion calculations.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Topics in Artisanal Calculus: Wolfram Daily Study Group

Explore lesser-known calculus topics: umbral calculus, Bell polynomials, the Euler–Maclaurin formula and fractional calculus, applied to dynamical systems, minimal surfaces and number theory.

• Wolfram U
• 5 hours
• Self-Paced
• Free Online Course

New in Wolfram Language 13.1 Webinar Series: Wolfram U

Explore new Wolfram Language 13.1 features, from notebook improvements and fractional calculus to machine learning, video functions, and tree constructs.

• Wolfram U
• 4 hours
• Self-Paced
• Free Online Course

Wolfram

Compositional Structure of Classical Integral Transforms

Explore classical integral transforms' compositional structure, focusing on modified Laplace transforms and MellinTransform. Learn definitions, inversions, and applications to various functions.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Wolfram

Advances in Generic Integral Transforms Using Fox H-Functions

Explore advanced mathematical concepts of Fox H-functions and their applications in solving complex integral transforms using Wolfram's computational methods.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Solving Fractional Differential Equations with FractionalDiffEq.jl

Discover how to solve complex fractional differential equations using FractionalDiffEq.jl, a powerful Julia package that integrates with SciML for advanced mathematical modeling and scientific computing.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

IIIT-Delhi;  NPTEL

Integral Transforms And Their Applications

1 rating

Introduces integral transforms and their applications to differential equations, boundary-value problems, and fractional equations.

• Swayam
• 12 weeks
• Not Currently Offered
• Free Online Course