I. Sulaymonov

activity

20242026

collaborators

4 papers

math.AP2026

Fractional Differential Equations in Chemical Modeling: From Memory and Anomalous Transport to Mathematically Justified Models

Ravshan Ashurov, Nigora Qutlimurotova, Ilyoskhuja Sulaymonov

Fractional differential equations are increasingly used to model memory and anomalous transport in chemistry and related fields. However, the formal replacement of an integer-order…

math.AP2025

Monotonicity in the parameter of the Mittag-Leffler function and determining the fractional exponent of the subdiffusion equation

Ravshan Ashurov, Ilyoskhuja Sulaymonov

In this paper, we prove the strict monotonicity in the parameter $ρ$ of the Mittag-Leffler functions $E_{ρ} (- t^{ρ})$ and $t^{ρ - 1} E_{ρ, ρ} (- t^{ρ})$ . Then, these results are applied to solv…

math.AP2024

On fractional parabolic systems of vector order

Ravshan Ashurov, Ilyoskhuja Sulaymonov

The paper considers the Cauchy problem for the system of partial differential equations of fractional order $D_{t}^{B} U (t, x) + A (D) U (t, x) = H (t, x)$ . Here $U$ …

math.AP2024

Determining the order of time and spatial fractional derivatives

Ravshan Ashurov, Ilyoskhuja Sulaymonov

The paper considers the initial-boundary value problem for equation $D_{t}^{ρ} u (x, t) + (- Δ)^{σ} u (x, t) = 0$ , $ρ \in (0, 1)$ , $σ > 0$ , in an N-dimensional domain $Ω$ with a homogeneous Dirichlet…