CAUCHY PROBLEM FOR ORDINARY DIFFERENTIAL EQUATION WITH DISCRETELY DISTRIBUTED FRACTIONAL DIFFERENTIATION OPERATOR
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2018, Vol 3, Issue
Abstract
We consider an initial value problem for ordinary differential equation with discretely distributed fractional differentiation operator. We give the Lagrange formula, prove the existence and uniqueness theorem and construct an explicit form of solution.
Authors and Affiliations
Luiza Gadzova
Keywords
Related Articles
- EP ID EP505488
- DOI 10.18454/2079-6641-2018-23-3-48-56
- Views 90
- Downloads 0
CALCULATION THE MAXIMUM LYAPUNOV EXPONENT FOR THE OSCILLATORY SYSTEM OF DUFFING WITH A DEGREE MEMORY
In the study of nonlinear systems, one of the important problems is the determination of the type of oscillations-periodic, quasi-periodic, random, chaotic. It is especially difficult to distinguish between quasi-periodi...
SOME BOUNDARY VALUE PROBLEMS FOR AN EQUATION OF THE THIRD ORDER PARABOLIC- HYPERBOLIC TYPE IN A PENTAGONAL AREA
This article is an example of the application of methods for constructing solutions of integral and differential equations. Here we consider the equation of parabolic-hyperbolic type (∂/∂x+∂/∂y)(Lu)=0 in a pentagonal are...
A PRIORI ESTIMATE OF THE SOLUTION OF A BOUNDARY PROBLEM WITH THE CONDITION OF SAMARA FOR THE GENERALIZED THIRD-ORDER EQUATION WITH MULTIPLE CHARACTERISTICS
The boundary value problems for the third-order equation of parabolic type with fractional derivative of Caputo are considered. The uniqueness and existence of a generalized solution of the boundary value problem with a...
CHARACTERISTIC PATTERNS OF ELECTROMAGNETIC MANIFESTATION OF LITHOSPHERE DYNAMICS
The signals of the lithosphere dynamics with the seismic activity of Kamchatka are compared. Earlier unknown simple repeating waveforms of the electrical component of the electromagnetic field in ELF-SLF range (patterns)...
BOUNDARY-VALUE PROBLEMS WITH GENERALIZED GLUING CONDITIONS FOR A LOADED DIFFERENTIAL EQUATION WITH A PARABOLIC-HYPERBOLIC OPERATOR
In the present work we study the unique solvability of local boundary value problems with generalized gluing conditions for the third order differential equation with a loaded parabolic-hyperbolic operator.