Work

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Year: 2026

Type: article

Abstract: ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of which we derive particularly to observe the roles of and in the long time behavior of solutions. Moreover, we apply these estimates to obtain local in time weak solutions, and global solutions, under the influence of a nonlocal non‐power nonlinear term.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70575

Authors: Ibrahim Ahmad Suleman, Mokhtar Kirane

Institution: Khalifa University of Science and Technology

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

Funder: Khalifa University of Science, Technology and Research