Bulletin KRASEC. Phys. & Math. Sci, 2015, V. 11, №. 2, pp. 36-40. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2015-11-2-36-40

MSC 34L05

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

L.M. Eneeva

Institute of Applied Mathematics and Automation, 360000, Republic of Kabardino-Balkariya, Nalchik, st. Shortanova, 89a.

E-mail: aneeva@pochta.ru.

We study a spectral problem for an ordinary differential equation with a composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. It is proved 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).

Key words: fractional derivative, boundary value problem, eigenvalue, eigenfunction.

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For citation: Eneeva L.M. Boundary value problem for differential equation with fractional order derivatives with different. Bulletin KRASEC. Physical and Mathematical Sciences 2015, vol. 11, issue 2, 36-40. DOI: 10.18454/2313-0156-2015-11-2-36-40.

Original article submitted: 16.09.2015

Ene

  Eneeva Liana Magometovna – Ph.D. (Phys. & Math.), Scientific Secretary, Institute of Applied Mathematics and Automation, Kabardino-Balkaria, Nalchik.

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