In this paper, the Cauchy problem for a differential equation with a fractional Hilfer derivative $D_t^{\alpha,\beta}u(t)+Au(t)=f(t), \ 0
| Mualliflar | Fayziev, Yu., Sadullaeva, Sh. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2026-1-5 |
DOI: 10.29229/uzmj.2026-1-5 · Maqolaning asl sahifasi
Cauchy problem; Hilfer derivatives; Subdiffusion equation; Direct and inverse problems
This work is devoted to study pursuit problems involving multiple pursuers and a single evader, all moving on the 1-skeleton graph of the dodecahedron. Solutions to the pursuit problems are provided, where the maximum…
In this work, the problem of constructing an optimal interpolation formula involving derivatives is studied. The values of the unknown function are required not only at the nodal points but also the values of its first…
In this paper, we introduce generalized grand Sobolev spaces and using the integral representation method, study some properties of functions from these spaces from the point of view of embedding theory.
In the present paper, we study $G_2$-periodic $p$-adic quasi Gibbs measures for the $p$-adic Potts model with an external field on a Cayley tree of order two. We find $G_2$-periodic (non-translation-invariant) $p$-adic…
Boundary value problems are considered for quasilinear elliptic equations with a principal quasilinear elliptic operator of the second order in the Sobolev space $W_p^2 \left(\Omega\right)$. The main content of the work…
In this paper, $n$-quasitraces on real C*-algebras are studied. It is proved that if $R$ is a real C*-algebra, then the natural extension of an $n$-quasitrace of $R$ to $R+iR$ is also an $n$-quasitrace, and conversely…
In this work, we study a class of nonlinear elliptic equations of the form $Au=-\Delta _{p}u+ div \left( Vu\right) =R(x,u)$ in a bounded domain $\Omega \subset \mathbb{R}^n$, where $-\Delta _{p}u=- div \left( \left…
The paper studies quasitraces on real C*-algebras, and AW*-completion of C*-subalgebras with respect to the $d_\tau$-metric generated by quasitrace $\tau$. It is proved that the $d_\tau$-closure of unital real…
In this paper, an evasion game for an infinite system of ternary differential equations is studied. The game is considered in the Hilbert space $l_{2}$. The control parameters of pursuer and evader are subject to…
In this work, we investigate the thermodynamic properties of the three-state solid-on-solid (SOS) model on a binary Cayley tree. Employing recurrence relations, we analyze the partition function and derive explicit…