Work

Inverse Source Problem for the Space-Time Fractional Parabolic Equation on a Metric Star Graph with an Integral Overdetermination Condition

Year: 2024

Type: article

Abstract: In the present paper, we study an initial–boundary value problem for a fractional parabolic equation on a metric star graph in Sobolev spaces. We start by proving existence and uniqueness results for strong solutions by the classical functional method based on a priori estimates. Moreover, the present paper is the first to consider an inverse source problem with an integral overdetermination condition for space-time fractional derivatives in Sobolev spaces. Transforming the inverse problem into an operator-based equation, we show that the corresponding resolvent operator is well defined.

Source: Mathematical Notes

DOI: 10.1134/s0001434624110026

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

Institutions: Academy of Sciences Republic of Uzbekistan, Central Asian University, National University of Uzbekistan, Russian Economic University after G.V. Plekhanov

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4407285660

FWCI: 0.765

Cites: 35

Cited by: 1

Related to: 10