<p style='text-indent:20px;'>The three-dimensional viscoelastic fluid flow equations, arising from the motion of Kelvin-Voigt (Kelvin-Voight) fluids in bounded domains is considered this work. We investigate long-term dynamics such equations with "fading memory" (non-autonomous). first establish existence an absorbing ball appropriate spaces for semigroup defined order one (transformed au...

Abstract A new two-dimensional nanomaterial—Titanium Carbide MXene (Ti 3 C 2 -MXene)—was reported in 2011. In this work, the microscale models of Ti -MXene nanomaterial are considered with polymer matrix. The nanocomposites modeled using nacre-mimetic brick-and-mortar assembly configurations due to enhanced mechanical properties and interlocking mechanism between (brick) matrices (mortar). matr...

In this paper, we consider an inverse problem for three dimensional viscoelastic fluid flow equations, which arises from the motion of Kelvin-Voigt fluids in bounded domains (a hyperbolic type problem). This aims to reconstruct velocity and kernel memory term simultaneously, measurement described as integral over determination condition. By using contraction mapping principle appropriate space,...

The unique solvability in the sense of classical solutions for nonlinear inverse problems to differential equations, solved oldest Dzhrbashyan–Nersesyan fractional derivative, is studied. linear part equation contains a bounded operator, continuous operator that depends on lower-order derivatives, and an unknown element. problem given by equation, special initial value conditions lower overdete...