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
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- EP ID EP486500
- DOI 10.18454/2079-6641-2015-11-2-39-44
- Views 121
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