Results 41 to 50 of about 1,122,320 (225)

Analytical Solution for the Time-Fractional Telegraph Equation

Journal of Applied Mathematics, 2009
We discuss and derive the analytical solution for three basic problems of the so-called time-fractional telegraph equation. The Cauchy and Signaling problems are solved by means of juxtaposition of transforms of the Laplace and Fourier transforms in ...
F. Huang
doaj   +1 more source

Positive-Part Moments via the Fourier–Laplace Transform [PDF]

Journal of Theoretical Probability, 2010
Accepted for publication in Journal of Theoretical Probability, with Proposition 2.6 downgraded to Example 1. A couple of possible applications are added.
openaire   +2 more sources

Solid Harmonic Wavelet Bispectrum for Image Analysis

Advanced Science, EarlyView.
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown, Mathilda Avirett‐Mackenzie, Carolin Villforth, Georgios Exarchakis   +3 more
wiley   +1 more source

Microfluidic Gratings for X‐Ray Phase Contrast Imaging

Advanced Science, EarlyView.
This work establishes a new protocol for the fabrication of X‐ray gratings that exploits the advantages of microfluidics and enables a more inexpensive, faster, and scalable production process. These X‐ray devices are fundamental for implementing X‐ray phase contrast imaging (XPCI) in laboratory and clinical settings, yet their costly and complex ...
Alessandro Rossi, Antonio Ferraro, Francesco Coccimiglio, Tiziana Ritacco, Alberto Astolfo, Michele Giocondo, Vincenzo Formoso, Raffaele Giuseppe Agostino, Francesco Iacoviello, Ioannis Papakonstantinou, Alessandro Olivo   +10 more
wiley   +1 more source

Fourier, Laplace and Hilbert transforms

Electronics Letters, 1968
For a simple evaluation of the Hilbert transform, iterated Fourier- or Laplace-transform schemes have been suggested. In this letter, an alternative iterated transform scheme, more general than the one previously reported, has been put forward.
openaire   +1 more source

Synergistic Effect on Enhanced Oil Recovery in High Salinity Carbonate Reservoirs Using a Novel PEI‐Functionalized Carbon Nanotube Nanocomposite

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Enhancing oil recovery (EOR) in mature reservoirs is hindered by high interfacial tension (IFT) and oil‐wet rock formations, especially under harsh, high‐salinity conditions. This study aims to overcome these limitations by synthesizing a novel carbon nanotube nanocomposite covalently grafted with polyethylenimine and non‐covalently ...
Mohamed Abu Shuheil, Dilipkumar S. Patel, N. Beemkumar, Tariq Abdulkader Alrihaim, Dhirendra Nath Thatoi, Ripendeep Singh, Rohit Kumar, Parminder Singh, Ahmad Khalid   +8 more
wiley   +1 more source

Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

Partial Differential Equations in Applied Mathematics
This article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina, Kamran, Muhammad Asif, Salma Aljawi, Nabil Mlaiki   +4 more
doaj   +1 more source

Synchronization‐Performance‐Oriented Frequency‐Domain Iterative Learning Control for Wafer and Reticle Stages

Asian Journal of Control, EarlyView.
ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou, Yuejing Qi, Zhipeng Wu, Wei Qi, Tianwei Xu   +4 more
wiley   +1 more source

Analytic solution of fractional jeffrey fluid induced by abrupt motion of the plate [PDF]

Matrix Science Mathematic, 2018
This paper presents some new exact solutions corresponding to unsteady fractional Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach in the governing equations is used.
Amir Khan, Gul Zaman, Anwarud Din, Shakoor Muhammad   +3 more
doaj   +1 more source

Theory and Applications of Fourier, Laplace, and Z Transformations

The Journal of CIEES, 2022
This study presents the mathematics for the implementation of direct and inverse Fourier, Laplace, and Z transformations. This research is at the intersection between signal processing, applied mathematics, and software engineering, and it provides a study guide to implementers.
openaire   +1 more source