Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements
نویسندگان
چکیده
منابع مشابه
Nonlinear Vibrations of Viscoelastic Plates of Fractional Derivative Type: An AEM Solution
The nonlinear dynamic response of thin plates made of linear viscoelastic material of fractional derivative type is investigated. The resulting governing equations are three coupled nonlinear fractional partial differential equations in terms of displacements. The solution is achieved using the AEM. According to this method the original equations are converted into three uncoupled linear equati...
متن کاملAsymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative
This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some ot...
متن کاملA solution of nonlinear fractional random differential equation via random fixed point technique
In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
متن کاملFractional Derivative as Fractional Power of Derivative
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator. Fractional generalization of concept of stability is considered.
متن کاملExistence of solutions for nonlinear singular fractional differential equations with fractional derivative condition
*Correspondence: [email protected] Department of Mathematics, Jining University, Jining, Shandong 273155, P.R. China Abstract In this paper, we investigate a boundary value problem for singular fractional differential equations with a fractional derivative condition. The existence and uniqueness of solutions are obtained by means of the fixed point theorem. Some examples are presented to illustr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Procedia Engineering
سال: 2017
ISSN: 1877-7058
DOI: 10.1016/j.proeng.2017.09.144