In this paper, we consider a weakly system of fractional θ-evolution equations. Using the
fixed-point theorem, a global-in-time existence of small data solutions to the Cauchy …

We study in this paper the long-term existence of solutions to the system of weakly coupled
equations with fractional evolution and various nonlinearities. Our objective is to determine …

The study of small data Sobolev solutions to the Cauchy problem for weakly coupled
systems of semi-linear fractional σ–evolution equations with different power nonlinearities is …

This paper focuses on the study of global existence (in time) of solutions to a weakly coupled
system of Cauchy problem for semilinear σ k-evolution models with δ k-visco-elastic …

This paper examines the Cauchy problem described by the following equation:∂ t λ+ 1 ϕ-Δ
ϕ=∫ 0 t (ts)-γ ϕ (s,.) pds, ϕ (0, x)= ϕ 0 (x), ϕ t (0, x)= ϕ 1 (x).(1) The equation involves the …

Critical regularity of nonlinearities in semilinear effectively damped wave models Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 8(2): 4764–4785. DOI: 10.3934/math.2023236 Received: 29 August …

We prove the global existence of small data solution in all spaces of all dimensions n≥ 1
n≧1 for weakly coupled systems of semilinear effectively damped wave, with different time …

In this paper we consider a fractional nonlinearity for the wave equation with friction and
viscoelastic damping. Using Fixed point theorem a global in time existence of small data …

In this paper, our interest is the global existence of small data solutions to the Cauchy
problem for weakly coupled systems of semilinear damped waves with different scale …

Preparatory Year Deanship, King Faisal University, Hofuf 31982, Saudi Arabia; adjaout@
kfu. edu. sa Abstract: In this paper, we consider a weakly system of fractional θ-evolution …