differential equations, fractional derivative, fractional calculus, function spaces, random walk, probability.
Subject:
Mathematics.
Main publications:
E. Andries, S. Umarov, S. Steinberg, “Monte Carlo random walk simulations based on distributed order differential equations with applications to cell biology”, Fractional Calculus and Applied Analysis, 9:4 (2006), 351–369
S. R. Umarov, “Nonlocal boundary value problems for pseudodifferential and operator-differential equations. II”, Differ. Uravn., 34:3 (1998), 375–382; Differ. Equ., 34:3 (1998), 374–381
1997
2.
S. R. Umarov, “Nonlocal boundary value problems for pseudodifferential and operator-differential equations. I”, Differ. Uravn., 33:6 (1997), 827–836; Differ. Equ., 33:6 (1997), 831–840
S. R. Umarov, È. M. Saidamatov, “On conditions for the discreteness of the spectrum for a general pseudo-differential operator”, Differ. Uravn., 33:1 (1997), 133–135; Differ. Equ., 33:1 (1997), 136–138
1991
4.
S. R. Umarov, “An algebra of pseudodifferential operators with variable analytic symbols and the well-posedness of the corresponding equations”, Differ. Uravn., 27:6 (1991), 1056–1063; Differ. Equ., 27:6 (1991), 753–759
1984
5.
S. R. Umarov, “Some spaces of infinite order and their applications to operator
equations”, Dokl. Akad. Nauk SSSR, 275:2 (1984), 313–317