BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS

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 120
  • Downloads 0

How To Cite

Liana Eneeva (2015). BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS. Вестник КРАУНЦ. Физико-математические науки, 2(), 39-44. https://europub.co.uk/articles/-A-486500