Results 11 to 20 of about 100,397 (305)

Hyena neural operator for partial differential equations

APL Machine Learning, 2023
Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to solving partial
Saurabh Patil, Zijie Li, Amir Barati Farimani   +2 more
doaj   +3 more sources

Third-order differential subordination and superordination involving a fractional operator

Open Mathematics, 2015
The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W., Ahmad Muhammad Zaini, Al-Janaby Hiba F.   +2 more
doaj   +2 more sources

Caratheodory operator of differential forms

Journal of Inequalities and Applications, 2011
This article is devoted to extensions of some existing results about the Caratheodory operator from the function sense to the differential form situation.
Tang Zhaoyang, Zhu Jianmin
doaj   +1 more source

On the adjoint of a symmetric operator [PDF]

, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S., Nelly Villamizar, CATALISANO, MARIA VIRGINIA, E. CARLINI, Matilde Lalín, Saito, Morihiko, Mauceri G., Fernandes de Oliveira, GM, Yuzvinsky, Sergey, Nero Budur, Vallarino, Maria, PICCIONE, P., Matthias Langer, Behrndt, Jussi, Frank Sottile (7161257), Morihiko Saito, Hynek Kovařík, PEREIRA, Antonio L., M. V. CATALISANO, Budur, Nero, Langer, Matthias, Elisa Postinghel, Stefano Meda, Lotoreichik, Vladimir, JAVALOYES, M. A., Catalisano M.V, Carlini, Enrico, Mauceri, G., Giancarlo Mauceri, Sergey Yuzvinsky, CATALISANO M. V., PEREIRA, Marcone C., Jussi Behrndt, MAUCERI, GIANCARLO, Wadim Zudilin, Veys, Willem, S. Meda, Detchat Samart, M. Vallarino, Catalisano, M.V., G. Mauceri, Frank Sottile, Elisa Postinghel (2887796), BILIOTTI, L., Meda, S., Kovarik, Hynek, Maria Vallarino, Nelly Villamizar (7161260)   +47 more
core   +1 more source

Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

Journal of Taibah University for Science, 2022
A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

How to differentiate a quantum stochastic cocycle. [PDF]

, 2010
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin, J Martin Lindsay, Lindsay, J. Martin   +2 more
core   +1 more source

A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator

Journal of Function Spaces, 2021
Newly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have
Najla M. Alarifi, Rabha W. Ibrahim
doaj   +1 more source

Computation of Pseudo-Differential Operators [PDF]

SIAM Journal on Scientific Computing, 1996
Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Gang Bao, William W. Symes
openaire   +2 more sources

Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator

Complexity, 2023
In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran, Aisha Subhan, Kamal Shah, Suhad Subhi Aiadi, Nabil Mlaiki, Fahad M. Alotaibi   +5 more
doaj   +1 more source

Fuzzy differential subordination related to strongly Janowski functions

Applied Mathematics in Science and Engineering, 2023
The research presented in this paper concerns the notion of geometric function theory called fuzzy differential subordination. Using the technique associated with fuzzy differential subordination, a new subclass of analytic functions related with the ...
Bushra Kanwal, Saqib Hussain, Afis Saliu
doaj   +1 more source