Work

An initial-boundary problem for a mixed fractional wave equation

Year: 2025

Type: preprint

Abstract: We aim to prove a unique solvability of an initial-boundary value problem (IBVP) for a time-fractional wave equation in a rectangular domain. We exploit the spectral expansion method as the main tool and used the solution to Cauchy problems for fractional-order differential equations. Moreover, we apply certain properties of the Mittag-Leffler-type functions of single and two variables to prove the uniform convergence of the solution to the considered problem, represented in the form of infinite series.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2502.11871

Authors: Karimov, Erkinjon, Al-Salti, Nasser, Al-Ghabsi, Muna

Institutions: HOGENT University of Applied Sciences and Arts, Ghent University Hospital, Ghent University, Sultan Qaboos University, National University of Science and Technology

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National University of Science and Technology

OpenAlex ID: W4407719765

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