fractal analysis, boundary value problems for differential equations of fractional order.
Main publications:
T. S. Aleroev, H. T. Aleroeva, Ning-Ming Nie, and Yi-Fa Tang, “Boundary Value Problems for Differential Equations of Fractional Order”, Memoirs on Differential Equations and Mathematical Physics, 49 (2010), 19–82
T. S. Aleroev, S. V. Erokhin, “Parameter identification of fractional derivative order in Bagley–Torvik model”, Matem. Mod., 30:7 (2018), 93–102; Math. Models Comput. Simul., 11:2 (2019), 219–225
E. A. Larionov, E. M. Zveriaev, T. S. Aleroev, “On Theory of Normal Operators Weak Perturbations”, Keldysh Institute preprints, 2014, 014, 31 pp.
3.
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
T. S. Aleroev, “On one class of operators associated with differential equations of fractional order”, Sibirsk. Mat. Zh., 46:6 (2005), 1201–1207; Siberian Math. J., 46:6 (2005), 963–968
T. S. Aleroev, “The eigenvalues of a boundary value problem for a fractional-order differential operator”, Differ. Uravn., 36:10 (2000), 1422–1423; Differ. Equ., 36:10 (2000), 1569–1570
T. S. Aleroev, “A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator”, Differ. Uravn., 36:9 (2000), 1278–1279; Differ. Equ., 36:9 (2000), 1414–1415
T. S. Aleroev, “Completeness of the system of eigenfunctions of a fractional-order differential operator”, Differ. Uravn., 36:6 (2000), 829–830; Differ. Equ., 36:6 (2000), 918–919
T. S. Aleroev, “On a boundary value problem for a fractional-order differential operator”, Differ. Uravn., 34:1 (1998), 123; Differ. Equ., 34:1 (1998), 126
T. S. Aleroev, “Spectral analysis of a class of nonselfadjoint operators”, Differ. Uravn., 20:1 (1984), 171–172
1982
15.
T. S. Aleroev, “The Sturm-Liouville problem for a second-order differential equation with fractional derivatives in the lower terms”, Differ. Uravn., 18:2 (1982), 341–343