Fractional Calculus Courses and Certifications

NPTEL-NOC IITM

Fractional Calculus: Introduction and Fundamentals - Part 1

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

• YouTube
• 26 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Introduction to Fractional Calculus: Wolfram U

Explore fractional calculus using Wolfram Language: compute derivatives, apply Laplace transforms, and solve linear fractional differential equations. Gain practical skills for advanced mathematical modeling.

• Wolfram U
• 49 minutes
• On-Demand
• Free Online Course

INI Seminar Room 2

The Limiting Case of the Fractional Caffarelli-Kohn-Nirenberg Inequality in Dimension One

Explore the limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in one dimension with Dr. Mariel Saez from Pontificia Universidad Católica de Chile.

• YouTube
• 38 minutes
• On-Demand
• Free Video

INI Seminar Room 2

The Limiting Case of the Fractional Caffarelli-Kohn-Nirenberg Inequality in Dimension One

Explore the limiting case of fractional Caffarelli-Kohn-Nirenberg inequality in one dimension with advanced mathematical analysis and geometric spectral theory applications.

• YouTube
• 5 hours 30 minutes
• On-Demand
• Free Video

ICTP Mathematics

Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability

Explore advanced mathematical techniques in nonlocal partial differential equations with applications spanning plasma physics, geometry, and probability theory.

• YouTube
• 1 day 14 hours 4 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Fractional Convexity

Explores fractional convexity, extending Euclidean convexity to fractional settings. Examines fractional convex envelopes, their characterization as viscosity solutions, and connections to fractional Monge-Ampere equations.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Banach Center

Non-local PDEs and Potential Theory

Explore non-local PDEs and potential theory with Mateusz Kwaśnicki from Wrocław University of Science and Technology, Poland.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Non-Local Differential Operators in Probability - Kirk Lecture

Explore non-local differential operators in probability theory, focusing on fractional-order operators and their applications in stochastic processes, anomalous diffusions, and renewal theory.

• YouTube
• 59 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Boundary Continuity of Nonlocal Minimal Surfaces in Domains with Singularities

Explore boundary continuity properties of nonlocal minimal surfaces when domains contain geometric singularities through advanced mathematical analysis.

• YouTube
• 57 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Fractional-Order Differentiation Meets Generalized Probabilities

Delve into advanced mathematical concepts connecting fractional-order differentiation with generalized probabilities through expert insights from Technical University of Kosice's research.

• YouTube
• 46 minutes
• On-Demand
• Free Video

INI Seminar Room 2

On the Evolution of Generalised Differentiation

Explore the historical development of generalized differentiation with Prof. Igor Podlubny in this mathematical seminar examining the evolution and applications of this advanced mathematical concept.

• YouTube
• 55 minutes
• On-Demand
• Free Video