Results 121 to 130 of about 224,342 (242)

The Mellin Transform and Non-local Derivatives of Fractal Calculus

, 2023
In this paper, the fractal calculus of fractal sets and fractal curves are compared. The analogues of the Riemann-Liouville and the Caputo integrals and derivatives are defined for the fractal curves which are non-local derivatives. The analogous for the
Serpa, Cristina, Golmankhaneh, Alireza Khalili, Jørgensen, Palle E. T., Welch, Kerri   +3 more
core  

Local and Tele‐Coupling Coordination Relationships Between Urban Resilience and Ecosystem Health in the Beijing‐Tianjin‐Hebei Region and Analysis of Their Influencing Factors

Land Degradation &Development, EarlyView.
ABSTRACT Urban resilience and ecosystem health are essential foundations for regional sustainable development, yet their coupled and coordinated relationships remain insufficiently explored at the urban‐agglomeration scale. Taking the 13 prefecture‐level cities in the Beijing‐Tianjin‐Hebei urban agglomeration as the study area and using panel data for ...
Wang Mengyu, Huang Jianyi, Yuan Yitai, Yu Lixiao, Xu Waner   +4 more
wiley   +1 more source

Analysis and modeling of fractional Mandelbrot scaling for parameterization-invariant theories for mechanical systems

Physics Open
This study presents a comprehensive analysis and modeling framework that integrates Mandelbrot's fractal scaling with fractional variational principles to advance the understanding of parameterization-invariant theories for mechanical systems.
Yazen M. Alawaideh, Bashar M. Al-khamiseh, Shajar Abbas, Ioan-Lucian Popa, Hala Ghannam, Tasneem Alayed   +5 more
doaj   +1 more source

CALCULUS ON FRACTAL CURVES IN Rⁿ

, 2011
A new calculus on fractal curves, such as the von Koch curve, is formulated. We define a Riemann-like integral along a fractal curve F, called Fα-integral, where α is the dimension of F. A derivative along the fractal curve called Fα-derivative, is also
SEEMA SATIN, A. D. GANGAL, ABHAY PARVATE
core   +1 more source

Asymmetric Responses of Ecosystem Health to Urbanization in a Typical Karst City: Spatiotemporal Patterns and Driving Mechanisms in Guilin, China

Land Degradation &Development, EarlyView.
ABSTRACT Urban expansion can substantially reshape ecosystem structure and functioning, especially in ecologically fragile Karst landscapes. Clarifying how ecosystem health (EH) responds to urbanization and identifying the factors that drive spatial variation in EH are important for regional sustainability.
Jinlong Hu, Zhenhong Bin, Yingxue Wang
wiley   +1 more source

Using fractal dimensions for characterizing intra-urban diversity. The example of Brussels [PDF]

The objective of this paper is to compare fractal-based parameters calculated by different fractal methods for urban built-up areas, and to link the observed spatial variations to variables commonly used in urban geography, urban economics or land use ...
Pierre Frankhauser, Isabelle Thomas, Marie-Laurence De Keersmaecker   +2 more
core  

A Study on the Distribution Characteristics of Salinity and Nutrients and the Migration Mechanism of Soil Salt in the Delingha Saline‐Alkali Soil Profile of the Qaidam Basin

Land Degradation &Development, EarlyView.
ABSTRACT Soil salinization negatively impacts the economic development and ecological environment, particularly in the arid and semiarid regions of China. The Qaidam Basin constitutes a major distribution area of saline‐alkali land in the country. However, the distribution patterns of salinity and nutrients within soil profiles and the underlying salt ...
Hongpan Xue, Chenyu Wang, Yiyan Chen, Binkai Li, Aiyin Cheng, Hongyu Li, Bo Dong, Xiuyun Min, Haicheng Wei   +8 more
wiley   +1 more source

Linking Ecosystem Risk, Health, Services to Ecological Security Assessment in the Yellow River Basin: Spatiotemporal Dynamics and Nonlinear Driving Characteristics

Land Degradation &Development, EarlyView.
ABSTRACT A scientific assessment of ecological security (ES) and its nonlinear mechanism for key driving factors in the Yellow River Basin (YRB) is of great significance for ecological protection and sustainable development. This study proposes an ES assessment framework, which links ecosystem risk (ER), ecosystem health (EH), and ecosystem services ...
Menghao Yang, Ming Wang, Haipeng Zhang, Zhihong Yao   +3 more
wiley   +1 more source

Fractal Differential Equations of 2α-Order

Axioms
In this research paper, we provide a concise overview of fractal calculus applied to fractal sets. We introduce and solve a 2α-order fractal differential equation with constant coefficients across different scenarios.
Alireza Khalili Golmankhaneh, Donatella Bongiorno   +1 more
doaj   +1 more source

A Sequential One‐Pot Block Copolymer Synthesis: Toward Mesoporous Carbon Materials for Selective CO2 Adsorption

Macromolecular Rapid Communications, EarlyView.
A sequential one‐pot photo‐iniferter RAFT method greatly simplifies the synthesis of PAN‐based block copolymers, offering quick access to hierarchically porous, N‐doped carbon membranes. This scalable and reliable process allows for easy fabrication of functional materials important for carbon capture applications.
Björn Schmidt, Stefan Heißler, Alexei Nefedov, Jakob Becker, Udo Geckle, Simon Buchheiser, Frank Rhein, Tao Chen, Patrick Théato, Martina Plank   +9 more
wiley   +1 more source