BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2015, Vol 2, Issue
Abstract
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite sequences of eigenvalues and eigenfunctions. All of the eigenvalues are real and positive, and the eigenfunctions form an orthogonal basis in L2(0;1).
Authors and Affiliations
Liana Eneeva
Keywords
Related Articles
- EP ID EP486500
- DOI 10.18454/2079-6641-2015-11-2-39-44
- Views 95
- Downloads 0
ON MATHEMATICAL MODELS OF THE ALLER EQUATION
The solution to the Goursat problem is written out explicitly for a hyperbolic secondorder loaded equation, proposed as a mathematical model of Aller equation under certain conditions.
SPECTRAL PROBLEMS FOR THREE-DIMENSIONAL ELLIPTIC EQUATIONS WITH SINGULAR COEFFICIENTS
The eigenvalues and eigenfunctions of two boundary value problems for three-dimensional equations of elliptic types with singular coefficients with lower terms are found.
UNIQUENESS OF A SOLUTION TO THE DIRICHLET PROBLEM FOR A MULTIDIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATION
The uniqueness theorem for the solution of the Dirichlet problem for a multidimensional partial differential equation of fractional order in an unbounded domain is proved. The equation under study is an equation of the s...
MATHEMATICAL MODELING OF CHANGES IN THE CHARGE CLOUD DROPLETS IN A FRACTAL ENVIRONMENT
The paper proposed a new mathematical model of the variation of the charge cloud drops in storm clouds. The model takes into account the fractal properties of storm clouds, and the solution was obtained using the apparat...
ABOUT MODEL OF LOADED PARTIAL HYPERBOLIC-PARABOLIC DIFFERENTIAL EQUATION OF SECOND ORDER
We studied a models of loaded equation of mixed hyperbolic-parabolic type with characteristicly and not characteristicly modifying line. For the proposed equation models boundary value problem is considered and solutions...