BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH MIXED RIEMANN—LIOUVILLE DERIVATIVE OF FRACTIONAL ORDER
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 4
Abstract
In this paper, we find a sufficient condition for solvability of boundary-value problem for differential equation with mixed Riemann-Liouville derivative of fractional order.
Authors and Affiliations
A. N. Vityuk, A. V. Mykhailenko
Keywords
Related Articles
- EP ID EP417147
- DOI -
- Views 59
- Downloads 0
Quasi-optimal rotation deceleration of a dynamically symmetric rigid body with a cavity filled with viscous fluid in a resistive medium
The problem of quasi-optimal deceleration of rotations of a dynamically symmetric rigid body is investigated. It is assumed that the body contains a spherical cavity filled with highly viscous fluid. The rigid body is su...
Simultaneous approximation of locally integrable functions and their ψ-integrals
Low smoothness case. The article presents the problems of simultaneous approximation of locally integrable functions on the real axis of low smoothness and their integrals using Vallee Poussin operators. The asymptotic l...
Variational method of homogeneous solutions for axisymmetric elasticity problems
A variational method of homogeneous solutions for solving of axisymmetric elasticity problems for semiinfinite and finite cylinders with free lateral surface has been developed. As an example of application of the method...
Influence of plastic zone near the tip of interfacial crack on the contact of its lips
We have developed a complex model of the prefracture zone near the tip of an interface crack that assumes the existence, in its vicinity, of a small-scale contact region of its faces interacting according to the law of d...
On an adaptive method of regulator parameters adjustment at discrete time points
We offer an adaptive method of regulator parameters correction at discrete points of time. The method is based on the following idea: we choose the parameters of the parametric regulator at discrete moments of time minim...