Computation of differential equation with fractional matrix

Abstract

Fractional power computation of matrix is represented. Numerical calculations for ordinary differential equation and its fraction analog is done. Results are compared with Grunvald –Letnikov operator.

Authors and Affiliations

Igor Ilyin, Dmitriy Noshenko, Andrey Perezhogin

Keywords

Related Articles

DARBOUX PROBLEM FOR FRACTIONAL TELEGRAPH EQUATION

In this paper we prove a theorem of existence and uniqueness of solutions of the Darboux problem for the generalized telegraph equation of fractional order with Riemann-Liouville derivatives.

FIRST RESULTS OF ATMOSPHERIC ELECTRICITY MEASUREMENTS AT THE OBSERVATORY ”PARATUNKA”, KAMCHATKA, USING THE CS110 ELECTRIC FIELD METER

The results of continuous measuring of vertical gradient of AEF potential by CS110 during a few months are presented. The comparison of CS110 and ”Pole-2” are performed.

JOINT PERTURBATION OF GEOACOUSTIC, EMANATION AND ATMOSPHERIC ELECTRIC FIELDS AT THE BOUNDARY OF THE EARTH’S CRUST AND THE ATMOSPHERE BEFORE THE EARTHQUAKE

The possibility of joint perturbation of geoacoustic, emanation and atmospheric electric fields by the earth’s crust — atmosphere boundary before an earthquake is considered.

ENVIRONMENTAL SAFETY NANOPOWDERS

A question about the environmental safety of the nano world, as well as some aspects of the development of safety standards nanomaterials.

APPLY MODIFIED METHOD OF THE BOUNDARY ELEMENTS TO THEORY POTENTIAL PROBLEMS

An algorithm for solving the potential problem, based on the boundary element method, is proposed. Some example of the Dirichlet problem for the circle and the cube are consider. The numerical-analytical solution of the...

Download PDF file
  • EP ID EP467191
  • DOI 10.18454/2079-6641-2012-5-2-62-68
  • Views 82
  • Downloads 0

How To Cite

Igor Ilyin, Dmitriy Noshenko, Andrey Perezhogin (2012). Computation of differential equation with fractional matrix. Вестник КРАУНЦ. Физико-математические науки, 2(), 62-68. https://europub.co.uk/articles/-A-467191