675 research outputs found
The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Based on a nonlinear fractional complex
transformation, the Jacobi elliptic equation method is extended to
seek exact solutions for fractional partial differential equations
in the sense of the modified Riemann-Liouville derivative. For
demonstrating the validity of this method, we apply it to solve
the space fractional coupled Konopelchenko-Dubrovsky (KD) equations and the space-time fractional Fokas equation. As a result, some exact solutions for them including the hyperbolic function solutions, trigonometric function solutions, rational function solutions, and Jacobi elliptic function solutions are successfully found
Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
We are concerned with oscillation of solutions of a class of nonlinear fractional differential equations with damping term. Based on a generalized Riccati function and inequality technique, we establish some new oscillation criteria for it. Some applications are also presented for the established results
The market value of sustainable practices in the luxury industry:An identity mismatch and institutional theoretical perspective
Shareholders of luxury firms uphold a view of identity mismatch between being luxury and sustainable. We examine the associated market value with sustainable practice adoption of luxury firms from an institutional theoretical lens and an identity mismatch perspective. Based on 289 announcements made by public luxury firms, results from event study show that the stock market reacts negatively to the announcements of sustainable practices. Nevertheless, the negative effect attenuates in more recent year announcements, and more profitable and smaller luxury firms. Our results alert managers to better align their sustainability goals with luxury firms' identity and the ever-changing environment
Commerce as a Service Solution Accelerates Transition to E-commerce for Traditional Manufacturing Enterprises and Retailers
Using internet to operate business has become very important for traditional manufacturing enterprises and retailers. These enterprises are facing great risk when entering e-commerce due to lack of experiences and large volume of initial IT investment. This study analyzed the Commerce as a Service (CaaS) solution which can perfectly solve these problems. The solution is based on leading e-commerce platform and cloud computing technology, which provides small to medium sized clients with a low cost alternative e-commerce. Clients will be relieved of the responsibility of managing an IT shop while still maintaining full control over their site through business user tools
The Use of Endoscopic Ultrasound-Guided Fine Needle Aspiration (EUS-FNA) in Cytopathology Diagnosis
Effects of Tonal Coarticulation and Prosodic Positions on Tonal Contours of Low Rising Tones: In the Case of Xiamen Dialect
Few studies have worked on the effects of tonal coarticulation and prosodic
positions on the low rising tone in Xiamen Dialect. This study addressed such
an issue. To do so, a new method, the Tonal Contour Analysis in Tonal Triangle,
was proposed to measure the subtle curvature of the tonal contour. Findings are
as follows: (1) The low rising tone in Xiamen Dialect has a tendency towards
the falling-rising tone, which is significantly affected by the tonal
coarticulation and prosodic positions. (2) The low rising tone presents as a
falling-rising tone when preceded by a tone with a high offset, and as a low
rising tone when preceded by a tone that ends up low. (3) The curvature of the
low rising tone is greatest in the sentence-initial position, and is positively
correlated to its own duration.Comment: To be published in InterSpeech 202
Higher-order topology in Fibonacci quasicrystals
In crystalline systems, higher-order topology, characterized by topological
states of codimension greater than one, typically arises from the mismatch
between Wannier centers and atomic sites, leading to filling anomalies.
However, this phenomenon is less understood in aperiodic systems, such as
quasicrystals, where Wannier centers are not well defined. In this study, we
examine Fibonacci chains and squares, a quintessential type of quasicrystal, to
investigate their higher-order topological properties. We discover that
topological interfacial states, including corner states, can be inherited from
their higher-dimensional periodic counterparts, such as the two-dimensional
Su-Schrieffer-Heeger model. This finding is validated through numerical
simulations of both phononic and photonic Fibonacci quasicrystals by the finite
element method, revealing the emergence of topological edge and corner states
at interfaces between Fibonacci quasicrystals with differing topologies
inherited from their parent systems. Our results not only provide insight into
the higher-order topology of quasicrystals but also open avenues for exploring
novel topological phases in aperiodic structures.Comment: 9 pages, 6 figure
New Gronwall-Bellman Type Inequalities and Applications in the Analysis for Solutions to Fractional Differential Equations
Some new Gronwall-Bellman type inequalities are presented in this paper. Based on these inequalities, new explicit bounds for the related unknown functions are derived. The inequalities established can also be used as a handy tool in the research of qualitative as well as quantitative analysis for solutions to some fractional differential equations defined in the sense of the modified Riemann-Liouville fractional derivative. For illustrating the validity of the results established, we present some applications for them, in which the boundedness, uniqueness, and continuous dependence on the initial value for the solutions to some certain
fractional differential and integral equations are investigated
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