On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms
This paper concerns a nonhomogeneous singular fractional order system, with two frictional
damping terms. This system can be considered as a generalization of the so-called Timoshenko
system. Results on the existence, uniqueness, and continuous dependence on the solution were
obtained via an energy approach, which mainly relies on a priori bounds and density arguments.
The approach relies on functional analysis tools and operator theory. Very few results concerning
the well-posedness of fractional order Timoshenko systems can be found in the literature. Our
results generalize and improve the previous ones and significantly boost the development of the
used method.
In this article, we applied the optimal auxiliary function method, which is a newly developed semi-numerical method widely used for complicated nonlinear partial differential equations in many…
In recent years, researchers have extensively investigated the Hankel determinant, which consists of coefficients appearing in a holomorphic function's Taylor-Maclaurin series. Hankel matrices are…
This paper concerns a nonhomogeneous singular fractional order system, with two frictional
damping terms. This system can be considered as a generalization of the so-called Timoshenko
…