T. S. Aleroev, Kh. T. Aleroeva, “On a class of non-selfadjoint operators, corresponding to differential equations of fractional order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 3–12; Russian Math. (Iz. VUZ), 58:10 (2014), 1

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 3–12 (Mi ivm8935)

This article is cited in 8 scientific papers (total in 8 papers)

On a class of non-selfadjoint operators, corresponding to differential equations of fractional order

T. S. Aleroev^a, Kh. T. Aleroeva^b

^a Chair of Higher Mathematics, Moscow State Academy of a Municipal Services and Construction, 30 Srednyaya Kalitnikovskaya str., Moscow, 109029 Russia
^b Chair of Theory of Probability and Applied Mathematics, Moscow Technical University of Communications and Information Science, 8a Aviamotornaya str., Moscow, 111024 Russia

Full-text PDF (206 kB) Citations (8)

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Abstract: We present a research method for non-selfadjoint integral operators, associated with differential equations of fractional order, within the frameworks of non-selfadjoint approach. In particular, we obtain estimates for the eigenfunctions and eigenvalues of the boundary-value problem for the fractional oscillatory equation.

Keywords: function of Mittag-Leffler type, spectrum, eigenvalue, fractional derivative.

Received: 04.04.2013

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 10, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X14100016

Bibliographic databases:

Document Type: Article

UDC: 517.927

Language: Russian

Citation: T. S. Aleroev, Kh. T. Aleroeva, “On a class of non-selfadjoint operators, corresponding to differential equations of fractional order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 3–12; Russian Math. (Iz. VUZ), 58:10 (2014), 1–9

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/ivm8935

https://www.mathnet.ru/eng/ivm/y2014/i10/p3

This publication is cited in the following 8 articles:

Tatiana Matseevich, Temirkhan Aleroev, “Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus”, Mathematics, 11:20 (2023), 4327
Aleroev T., “Solving the Boundary Value Problems For Differential Equations With Fractional Derivatives By the Method of Separation of Variables”, Mathematics, 8:11 (2020), 1877
Temirkhan S. Aleroev, Hedi T. Aleroeva, Oleg A. Kovalchuk, Yifa Tang, “On the main oscillational properties of fractional differential equations”, Georgian Mathematical Journal, 27:2 (2020), 177
T. Aleroev, “On one problems of spectral theory for ordinary differential equations of fractional order”, Axioms, 8:4 (2019), 117
M. Aleroev, H. Aleroeva, T. Aleroev, “Proof of the completeness of the system of eigenfunctions for one boundary-value problem for the fractional differential equation”, AIMS Math., 4:3 (2019), 714–720
N. E. Tokmagambetov, B. T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Trans. Moscow Math. Soc., 2018, 177–185
A. A. Mikheeva, “O serdtsevine gruppovoi tri-tkani”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2016, no. 3, 31–55
L. M. Isaeva, R. M. Edilova, “Kraevaya zadacha dlya odnomernogo drobnogo differentsialnogo uravneniya advektsii-diffuzii”, Mezhdunar. nauch.-issled. zhurn., 2015, no. 5-1(36), 8–11

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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