(4), it is possible to obtain the power series of \(\mathfrak {S}(\aleph , \wp )\) in multiple fractional form at the value of \(\wp =\wp _0\) as follows, $$\begin{aligned} \mathfrak {S}(\aleph , \wp )=\sum _{n=0}^{\infty } \frac{D_\wp ^{m \alpha } \math...
To address the electromechanical coupling and multi-source disturbance problems of the seeker stabilized platform, this paper constructs an electromechanical coupling model of the seeker stabilized platform based on the Lagrange-Maxwell equation. To mitigate the influence of electromechanical coupling on the...
One of the core concepts of contemporary control theory is the idea that a dynamical system can be controlled. Several abstract settings have been developed to describe the distributed control systems in a domain in which the control is acted through the boundary. In this manuscript, we investigat...
We need to find the value that is 40/60 of the way from the smaller value to the greater. The column to the right of these entries contains the value 46.5; this number indicates the amount that the smaller value 2789911 needs to be increased for each second of arc greater than 16∘...
The concepts of Linear Fractional Transformation (LFT), structured singular value μ, skewed-structured singular value ν, and μ-sensitivity are some of the important terms in the stability analysis using this approach. The μ-sensitivity based stability analysis involves following steps; (a) ...
Accurate development of satellite maneuvers necessitates a broad orbital dynamical system and efficient nonlinear control techniques. For achieving the intended formation, a framework of a discrete fractional difference satellite model is constructed by
The Caputo fractional derivative (CFD) is a one of the common choice when modeling physical systems with fractional dynamics, as it better to apply for the well-posed initial value problems. In general, the Caputo fractional derivative of a function f(t) with order \(\alpha\) is defined ...
The solution to this problem typically involves the use of fractional polynomials types, i.e. Chebyshev and Bassel polynomials. Keywords: fractional order optimal control problem; two-point boundary value problem; fractional order differential equation; fractional delay differential equation; numerical ...
The value of the\beta-D of a constant is equal to zero. _0^ED_u^\xi (c) = 0, for any constant (c). M-truncated derivative Definition 2 Let{h: [0,\infty ) \rightarrow \Re }with order\xi \in (0,1)has the following defined M-TD: ...
The present paper is the first part of a project devoted to the fractional nonlinear Schrödinger (fNLS) equation. It is concerned with the existence a