3,596 Results Found

Clarifying the residential space differentiation in urban fringe areas and its influencing factors are crucial for land use planning and sustainable urban development. This study investigates residential space differentiation and its influencing fact...

Different choices of living space for urban residents are concrete reflections of a social class divide. Emerging residential space differentiation is a critical issue in Chinese cities. This paper aims to explore the current situations and mechanism...

Exploring the coupling coordination relationship and underlying mechanisms within Production–Living–Ecological Space (PLES) and revealing its spatial interactions are of great significance for promoting the sustainable development of nati...

In this paper, we investigate the differential topological properties of a large class of singular spaces: subcarteisan space. First, a minor further result on the partition of unity for differential spaces is derived. Second, the tubular neighborhoo...

In this paper, we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This yields an...

Assuming that the motions of a complex system structural units take place on continuous, but non-differentiable curves of a space-time manifold, the scale relativity model with arbitrary constant fractal dimension (the hydrodynamic and wave function...

Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed. The space-fractional derivative is defined by us...

This paper reports an interesting phenomenon in which fractional-order effects can be induced by the mismatch of the differential orders of space and time; that is, fractional-order effects can be induced by space–time symmetry breakage. Classi...

In this paper, we first introduce the notion of neutrosophic pentagonal metric space. We prove several interesting results for some classes contraction mappings and prove some fixed point theorems in neutrosophic pentagonal metric space. Finally, we...

Nowadays, Space Information Networks represented by the satellite internet are developing rapidly. For example, the Starlink of SpaceX plans to provide network access services worldwide and has drawn much attention. To operate and maintain Space Info...

The differential electrostatic space accelerometer is an equivalence principle (EP) experiment instrument proposed to operate onboard China’s space station in the 2020s. It is designed to compare the spin-spin interaction between two rotating extende...

We investigate the half-space Dirichlet problem with summable boundary-value functions for an elliptic equation with an arbitrary amount of potentials undergoing translations in arbitrary directions. In the classical case of partial differential equa...

In this paper, we review the differential signalling techniques and investigate its implementation of in free-space optical (FSO) communication systems. The paper is an extended version of our previous works, where the effects of background noise, we...

In this paper, we propose new complex and real pair-wise detection for conventional differential space–time modulations based on quasi-orthogonal design with four transmit antennas for general QAM. Since the new complex and real pair-wise detections...

Distributed space time frequency coding (DSTFC) schemes address problems of performance degradation encountered by cooperative broadband networks operating in highly mobile environments. Channel state information (CSI) acquisition is, however, imprac...

In this article, a space-time spectral method is considered to approximate third-order differential equations with non-periodic boundary conditions. The Legendre-Petrov-Galerkin discretization is employed in both space and time. In the theoretical an...

This paper considers a nonlinear fractional-order boundary value problem ${\hspace{0.25em}}^H{\mathbb{D}}_{a,g}^{{\alpha }_1,\beta ,\mu }x\left(t\right)+f(t,x\left(t\right){,}^H{\mathbb{D}}_{a,g}^{{\alpha }_2,\beta ,\mu }x\left(t\right))=0,$ for $t\in [a,b]$, ${\alpha }_1\in (1,2]$, ${\alpha }_2\in (0,1]$, $\beta \in [0,1]$ with appropriate in...

This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces. The analysis is carried out using a generalized version of D...

Non-zero differential initial values hinder the application of fractional operator theory in practical systems. This paper proposes a differential initial values zeroing method, decomposing functions with non-zero differential initial values into a c...

In the use of global navigation satellite systems (GNSS) to monitor ionosphere variations by estimating total electron content (TEC), differential code biases (DCBs) in GNSS measurements are a primary source of errors. Satellite DCBs are currently es...

In this paper, we prove that, if $\underset{x\in A}{inf}\left|f\left(x\right)\right|=m>0$, then the partial differential operator D defined by $D\left(u\right)={\displaystyle \sum _{k=1}^n}{f}_k\frac{\partial u}{\partial x_k}-fu$, where $f,f_i\in C(A,\mathbb{R}),u\in C^1(A,X),i=1,\dots ,n,I\subset \mathbb{R}$ is an interval, $A=I\times {\mathbb{R}}^{n-1}$...

With the continuous implementation of the rural revitalisation strategy, the social and economic landscape of China’s countryside has undergone significant changes and the structure and functions of rural production space have gradually become...

We attempt to solve differential equations ${\upsilon }^{\prime }(\nu )=\Gamma (\nu ,\upsilon (\nu ))$ and use the fixed point technique to prove its Hyers–Ulam–Rassias stability in Menger k-normed spaces.

The equation $G(x,x)=\tilde{y},$ where $G:X\times X\to Y,$ and $X,Y$ are vector metric spaces (meaning that the values of a distance between the points in these spaces belong to some cones $E_{+},M_{+}$ of a Banach space E and a linear space M, respectively), is...

Amid rapid global urbanization, folk cultural spaces are facing a pronounced “resilience crisis.” Existing studies primarily emphasize material preservation while lacking a holistic assessment of cultural spaces. Using Xiamen Island as a...

This research article aims to solve a nonlinear fractional differential equation by fixed point theorems in orthogonal metric spaces. To achieve our goal, we define an orthogonal $\Theta$-contraction and orthogonal ($\alpha ,\Theta )$-contraction in the...

In this manuscript, we introduce a new notion: a Berinde type $(\alpha ,\psi )$ -contraction mapping. Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of such mappings in the setting of right-comple...

This paper introduces a new concept of a connected-image set for a mapping, which extends the notion of edge-preserving properties with respect to mapping. We also present novel definitions of connected-image contractions, with a focus on fixed-point...

Based on the differential cubature (DC) principle, a dynamic procedure for simultaneous discretization of time and space is developed. A spatial–temporal differential cubature analysis method for dynamic problems is established with the Timoshe...

In the present paper, we prove common fixed point theorems under different contractive mappings on ${\mathbb{C}}^{★}$-algebra-valued bipolar metric spaces. The results generalize and expand some well-known results from the literature. Examples and applications are g...

As it is not always true that the distance between the points in fuzzy rectangular metric spaces is one, so we introduce the notions of rectangular and b-rectangular metric-like spaces in fuzzy set theory that generalize many existing results, which...

The focus of this research article is to investigate the notion of fuzzy extended hexagonal b-metric spaces as a technique of broadening the fuzzy rectangular b-metric spaces and extended fuzzy rectangular b-metric spaces as well as to derive the Ban...

This paper investigates the existence and uniqueness of solutions for a class of Riemann–Liouville fractional differential systems with delays in Banach spaces that are randomly coupled. The analysis is carried out by constructing an appropriat...

The purpose of this paper is to analyze solutions of a non-local nonlinear partial integro-differential equation (PIDE) in multidimensional spaces. Such class of PIDE often arises in financial modeling. We employ the theory of abstract semilinear par...

Space-based infrared (IR) detection, with wide coverage, all-time operation, and stealth, is crucial for aerial target surveillance. Under low signal-to-noise ratio (SNR) conditions, however, its small target size, limited features, and strong clutte...

This paper introduces a two-dimensional (2D) numerical simulation of the amplification of space charge waves using negative differential conductance in a typical MOS silicon–germanium (SiGe)-based field-effect transistors (FET) and complementar...

In this manuscript, we defined (α, F)-contractions in the context of double-controlled metric spaces and partially ordered double-controlled metric spaces. We established new fixed-point results and defined the notion of double-controlled metri...

This paper is devoted to an innovative and efficient technique for solving space–time fractional differential equations (STFPDEs). To this end, we apply the Tau method such that the bases used are interpolating scaling functions (ISFs). The ope...

In this paper, we introduce the notion of fuzzy $\mathcal{R}-\psi -$contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces....

In this paper, we introduce a new class of proximal connected-image contractions in the framework of b-metric spaces endowed with a directed graph. By employing auxiliary functions, we establish several existence and uniqueness results for best proxi...

In this paper, we first introduce a new family of functions like an implicit function called $\Gamma$-functions. Furthermore, we introduce a new concept of $\alpha$-$\Gamma F$-fuzzy contractive mappings, which is weaker than the class of fuzzy F-contract...

Traditional filtering methods only focused on improving the peak signal-to-noise ratio of the single fringe pattern, which ignore the filtering effect on phase extraction. Fringe phase-shifting field based fuzzy quotient space-oriented partial differ...

The present paper aims to define three new notions: ${\mathsf{\Theta }}_e$ -contraction, a Hardy–Rogers-type $\mathsf{\Theta }$ -contraction, and an interpolative $\mathsf{\Theta }$ -contraction in the framework of extended b-metric space. Further, some fixed po...

This paper is devoted to studying the existence and uniqueness of a system of coupled fractional differential equations involving a Riemann–Liouville derivative in the Cartesian product of fractional Sobolev spaces $\mathcal{E}=W_{a^{+}}^{{\gamma }_1,1}(a,b)\times W_{a^{+}}^{{\gamma }_2,1}(a,b)$. Our st...

Modeling mobile robots is crucial to odometry estimation, control design, and navigation. Classical state-space models (SSMs) have traditionally been used for system identification, while recent advances in deep learning, such as Long Short-Term Memo...

The color design of architectural interior display spaces directly affects the effectiveness of cultural information communication and the visual cognitive experience of viewers. However, there is currently a lack of combined subjective and objective...

Optimal sensor placement (OSP) for structural health monitoring of large-scale space grid structures must enable reliable identification of localized member deterioration with sparse instrumentation. Modal-based OSP criteria optimize observability of...

The introduction of 5G with excessively high speeds and ever-advancing cellular device capabilities has increased the demand for high data rate wireless multimedia communication. Data compression, transmission robustness and error resilience are intr...

Every subset S of a Cartesian space ${\mathbb{R}}^d$, endowed with differential structure $C^{\infty }\left(S\right)$ generated by restrictions to S of functions in $C^{\infty }\left({\mathbb{R}}^d\right),$ has a canonical partition $\mathfrak{M}\left(S\right)$ by manifolds, which are orbits of the family $\mathfrak{X}\left(S\right)$ of all derivations o...

Conventional splines offer powerful means for modeling surfaces and volumes in three-dimensional Euclidean space. A one-dimensional quaternion spline has been applied for animation purpose, where the splines are defined to model a one-dimensional sub...