This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

We investigate some initial–boundary value problems for time-fractional diffusion equations
of order α∈(0, 1). Such equations model anomalous diffusion on fractals. The existence of …

1. Introduction It is well-known that the positivity of differential and difference operators in
Hilbert and Banach spaces is important in the study of various properties of boundary value …

Fractional powers of strongly positive operators and their applications - NASA/ADS Now on home
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In the present paper, the positivity of the second order of approximation of the difference
operator approximates the second-order differential operator with nonlocal conditions is …

Fractional Partial Differential Equations (318 Pages) Page 1 Chapter 1 Preliminaries In this
chapter, we introduce some notations and basic facts on fractional calculus, Mittag-Leffler …

We consider the two-dimensional differential operator A (t, x) u (t, x)=-a11 (t, x) utt-a22 (t, x)
uxx+ σu defined on functions on the half-plane R+ x R with the boundary condition u (0, x) …

In this study, the structure of fractional spaces generated by the two-dimensional neutron
transport operator A defined by formula Au=1∂u∂x+ω_2∂u∂y is investigated. The …

The present thesis deals with strongly positive operators with nonlocal conditions and their
applications. The structure of fractional powers of positive operators in fractional spaces are …

In the present paper, the positivity of the differential operator with nonlocal boundary
conditions is established. The structure of fractional spaces is investigated. In applications …