Fractional calculus
Fractional calculus - Wikipedia
Fractional differential equations, also known as extraordinary differential equations, are a generalization of differential equations through the application of ...
What Lies Between a Function and Its Derivative? | Fractional Calculus
Can you take a derivative only partway? Is there any meaning to a "half-derivative"? Does such a concept even make sense? And if so, what do ...
Fractional Calculus - an overview | ScienceDirect Topics
Fractional calculus is a generalization of ordinary calculus which introduces derivatives and integrals of fractional order.
The Fractional Derivative, what is it? - YouTube
This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left ...
What is the actual meaning of a fractional derivative? - MathOverflow
This generalises to all complex numbers, forming a field called fractional calculus which apparently even has applications in physics!
What level of math is needed to learn fractional calculus?
Fractional calculus is as accessible as integer calculus. Dressing it up with twenty-five-dollar words to describe 25 cent concepts does little ...
Fractional Calculus -- from Wolfram MathWorld
The study of an extension of derivatives and integrals to noninteger orders. Fractional calculus is based on the definition of the fractional integral as ...
Fractional Order Calculus: Basic Concepts and Engineering ...
This paper introduces the fundamentals of the FOC and some applications in systems′ identification, control, mechatronics, and robotics.
Fractional Calculus - MathPages
The general derivative depends on the value of the function f over the whole range from x0 to x. This can be seen from the factor f(x – jε) in the summation in ...
Introduction to Fractional Calculus - YouTube
Fractional calculus develops the theory of differentiation and integration of any real or complex order. It extends the basic operations of ...
Applications of Fractional Calculus - Mathematics Stack Exchange
7 Answers 7 ... Fractional derivatives can be used to establish connections between various special functions. The book An Atlas of Functions ...
Fractional Order Derivative - an overview | ScienceDirect Topics
In the case of fractional-order derivative, since it involves derivatives and integrals of arbitrary real or complex orders, the future state depends on the ...
Fractional Calculus - Wolfram Language Documentation
Fractional calculus generalizes the operations of differentiation and integration by unifying them into a single fractional derivative of arbitrary order.
Fractional Calculus | SpringerLink
We review some applications of fractional calculus developed by the author (partly in collaboration with others) to treat some basic problems in continuum ...
A. Fractional Calculus.pdf - Reed College
Ross' An Introduction to the Fractional Calculus and Fractional Differential Equations ( ). Both books are very accessibly written, and so far as concerns ...
The memory effect on fractional calculus: an application in the ...
Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. The main interest of this work is ...
A brief history and exposition of the fundamental theory of fractional ...
The fundamental structure of fractional calculus is outlined. The possibilities for the use of fractional calculus in applicable mathematics is ...
(PDF) Introduction to Fractional Calculus with Brief Historical ...
Abstract. The Fractional Calculus (FC) is a generalization of classical calculus concerned with operations of integration and differentiation of non-integer ( ...
Integral and Differential Equations of Fractional Order - arXiv
The topics discussed here will be: (a) essentials of Riemann-Liouville fractional calculus with basic formulas of Laplace transforms, (b) Abel ...
Applications of Fractional Calculus in Physics
Applications of Fractional Calculus in Physics · Time Fractional Gradient Flows: Theory and Numerics · A Hybrid Approximation Method for Integer Order ...