THE METHOD OF GREEN‘S FUNCTION FOR ONE DIFFERENTIAL EQUATION OF A FRACTIONAL ORDER

Abstract

The differential equation of a fractional order of 0 < β < 1 is considered. Green’s function for such equation is constructed and is shown that in a case β = 1 the found decision passes in earlier known classical decision.

Authors and Affiliations

Roman Parovik

Keywords

Related Articles

STATISTICS OF OCCURRENCE OF PRE-SEISMIC ANOMALIES IN GEOACOUSTIC EMISSION AND IN ATMOSPHERIC FIELD

Statistics of occurrence of anomalous disturbances in high-frequency geoacoutic emis-sion of the near surface sedimentary rocks and in atmospheric electric field by the ground surface before earthquakes is presented. Lon...

ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION

Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation. The uniqueness of the solution of the p...

VISUAL APPLICATION DESIGN ENVIRONMENT OF OPERATING MODELS FOR ACOUSTIC AND ELECTROMAGNETIC EMISSION SIGNAL PROCESSING AND ANALYSIS

We present a technology of creation of visual application design environment for hardwaresoftware complexes (VDE HSC) aimed at acoustic and electromagnetic emission signal processing and analysis. The technology includes...

GEOACOUSTIC EMISSION DIRECTIVITY CHANGE AT «MIKIZHA» STATION ASSOCIATED WITH EARTHQUAKES IN KAMCHATKA

To investigate high frequency geoacoustic emission, a receiving system based on a compound vector receiver was installed in Kamchatka. It allows the authors to determine the direction of sound wave arrival. In the result...

MATHEMATICAL MODEL OF PROPAGATION OF NERVE IMPULSES WITH REGARD HEREDITARITY

A mathematical model of the propagation of the nervous pulse of FitzHugh-Nagumo is proposed, which takes into account the effect of heredity. This hereditary model is described by an integro-differential equation with a...

Download PDF file
  • EP ID EP465646
  • DOI 10.18454/2079-6641-2010-1-1-17-23
  • Views 170
  • Downloads 0

How To Cite

Roman Parovik (2010). THE METHOD OF GREEN‘S FUNCTION FOR ONE DIFFERENTIAL EQUATION OF A FRACTIONAL ORDER. Вестник КРАУНЦ. Физико-математические науки, 1(), 17-23. https://www.europub.co.uk/articles/-A-465646