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20192026
most citedDetermination of the order of fractional derivative for subdiffusion equation

41 citations · 42 across the 41 of their papers we have counts for

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6 papers · 1 filter

math.AP2024

On determining the fractional exponent of the subdiffusion equation

Shavkat Alimov, Ravshan Ashurov

Determining the unknown order of the fractional derivative in differential equations simulating various processes is an important task of modern applied mathematics. In the last de…

math.AP2024

Inverse source problem for the space-time fractional parabolic equation on a metric star graph with an integral overdetermination condition

R. R. Ashurov, Z. A Sobirov, A. A. Turemuratova

In the present paper, we investigate the initial-boundary value problem for fractional order parabolic equation on a metric star graph in Sobolev spaces. First, we prove the existe…

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 . Here …

math.AP2024

On the non-local problem for Boussinesq type fractional equation

Ravshan Ashurov, Yusuf Fayziev, Muattar Khudoykulova

In recent years, the Boussinesq type fractional partial differential equation has attracted much attentions of researchers for its practical importance. In this paper we study a no…

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 , , , in an N-dimensional domain with a homogeneous Dirichlet…

math.AP2024

On systems of fractional nonlinear partial differential equations

Ravshan Ashurov, Oqila Muhiddinova

The work considers a system of fractional order partial differential equations. The existence and uniqueness theorems for the classical solution of initial-boundary value problems…