Introduction to Fractional Calculus
Fractional calculus develops the theory of differentiation and integration of any real or complex order. It extends the basic operations of classical calculus to fractional orders and studies the methods of solving differential equations involving these fractional-order derivatives and int
From playlist Wolfram Technology Conference 2022
11_1_1 Introduction to the Differentiation of Multivariable Functions
An introduction to multivariable function and their partial derivatives. Includes an explanation of the use of limits to calculate the first derivative, called first principles.
From playlist Advanced Calculus / Multivariable Calculus
Applications of analysis to fractional differential equations
I show how to apply theorems from analysis to fractional differential equations. The ideas feature the Arzela-Ascoli theorem and Weierstrass' approximation theorem, leading to a new approach for solvability of certain fractional differential equations. When do fractional differential equ
From playlist Mathematical analysis and applications
Integration & partial fractions
Free ebook http://tinyurl.com/EngMathYT An example of how to integrate using partial fractions (with repeated factors).
From playlist A second course in university calculus.
Integration + partial fractions
Free ebook http://tinyurl.com/EngMathYT An example on how to integrate using partial fractions.
From playlist A second course in university calculus.
Partial fractions + integration
Free ebook http://tinyurl.com/EngMathYT An example on how to integrate using partial fractions.
From playlist A second course in university calculus.
Integration by partial fractions
Free ebook http://tinyurl.com/EngMathYT Example of how to integrate using partial fractions.
From playlist A second course in university calculus.
10_1_1 Vector Function Differentiation
Introduction to vector function and first order derivatives of vector functions.
From playlist Advanced Calculus / Multivariable Calculus
Markus Rosenkranz Talk 1 7/8/14 Part 1
Title: A Noncommutative Mikusinski Calculus for Linear Boundary Problems
From playlist Spring 2014
When do fractional differential equations have solutions bounded by the Mittag-Leffler function?
When do fractional differential equations have solutions bounded by the Mittag Leffler function? New research into this question! http://www.degruyter.com/view/j/fca.2015.18.issue-3/fca-2015-0039/fca-2015-0039.xml?format=INT Fract. Calc. Appl. Anal. 18, no. 3 (2015), 642-650. DOI: 10.15
From playlist Mathematical analysis and applications
Calculus & Algebra in Wolfram Language: Live with the R&D team
In this stream, we review new features in Calculus and Algebra with Wolfram R&D. Follow us on our official social media channels. Twitter: [https://twitter.com/WolframResearch/] Facebook: [https://www.facebook.com/wolframresearch/] Instagram: [https://www.instagram.com/wolframres
From playlist Live with the R&D Team
Introductory talk on series. Defining a series as a sequence of partial sums.
From playlist Advanced Calculus / Multivariable Calculus
The Fractional Derivative, what is it? | Introduction to Fractional Calculus
This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem. Brachistochrone: https://www.youtube.com/watch?v=skvnj67YGmw ht
From playlist Analysis
Banach fixed point theorem & differential equations
A novel application of Banach's fixed point theorem to fractional differential equations of arbitrary order. The idea involves a new metric based on the Mittag-Leffler function. The technique is applied to gain the existence and uniqueness of solutions to initial value problems. http://
From playlist Mathematical analysis and applications
What's New in Calculus & Algebra
I will give an overview of upcoming features related to calculus and algebra in the Wolfram Language. These features include dramatic performance improvements in polynomial algebra functions and in linear algebra for matrices of polynomials, new NFractionalD and NCaputoD functions for nume
From playlist Wolfram Technology Conference 2022
When do fractional differential equations have solutions that extend?
When do fractional differential solutions have solutions that extend? New research to appear in Journal of Classical Analysis! http://files.ele-math.com/articles/jca-05-11.pdf doi:10.7153/jca-05-11 This note discusses the question: When do nonlinear fractional differential equations of a
From playlist Mathematical analysis and applications
When do fractional differential equations have maximal solutions?
When do fractional differential equations have maximal solutions? This video discusses this question in the following way. Firstly, a comparison theorem is formulated that involves fractional differential inequalities. Secondly, a sequence of approximative problems involving polynomials
From playlist Research in Mathematics