Journal of Mathematical Problems, Equations and Statistics
  • Printed Journal
  • Refereed Journal
  • Peer Reviewed Journal

P-ISSN: 2709-9393, E-ISSN: 2709-9407

2021, Vol. 2, Issue 1, Part A


Fractional differential equations: Change of variables and nonlocal symmetries


Author(s): Rano Sabirova

Abstract: The paper considers point changes of variables in integrals and fractional derivatives of various types. In the general case, such changes lead to the appearance of operators of fractional integro-differentiation of a function with respect to another function. The problem of extending the action of a group of point transformations to a given type of operators is solved, and the corresponding formulas for the continuation of the infinitesimal operator of the group are presented and proved. Using a simple example of an ordinary differential equation with a fractional derivative, we illustrate the application of continuation formulas to find some of its nonlocal symmetries and check them admitted by the equation.

Pages: 44-59 | Views: 846 | Downloads: 343

Download Full Article: Click Here
How to cite this article:
Rano Sabirova. Fractional differential equations: Change of variables and nonlocal symmetries. Journal of Mathematical Problems, Equations and Statistics. 2021; 2(1): 44-59.
Journal of Mathematical Problems, Equations and Statistics

Journal of Mathematical Problems, Equations and Statistics

Journal of Mathematical Problems, Equations and Statistics
Call for book chapter