Results 21 to 30 of about 3,651,563 (307)
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
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Pseudo-Differential Operators Associated with the Jacobi Differential Operator
Journal of Mathematical Analysis and Applications, 1998 The authors consider pseudo-differential operators on \((0,+\infty)\), defined in terms of the Fourier-Jacobi transform: \[ (Ff)(\xi)=\widehat f(\xi)=\int^\infty_0\varphi_\xi(x)f(x)dm(x) \] where \(\varphi_\xi(x)\) is the Jacobi function and \(dm(x)\) the associated measure. Precisely, for a suitable class of symbols \(p(x,\xi)\), one sets \[ p(x,D)f(x)
Ben Salem, N., Dachraoui, A.
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Multi-phase fluid flow simulation by using peridynamic differential operator
, 2020 The problems of multi-phase fluid flows are often encountered in engineering. In this study, a non-local numerical model of multi-phase fluid flows in the Lagrangian description is developed.
Yan Gao, S. Oterkus
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GNOT: A General Neural Operator Transformer for Operator Learning [PDF]
International Conference on Machine Learning, 2023 Learning partial differential equations' (PDEs) solution operators is an essential problem in machine learning. However, there are several challenges for learning operators in practical applications like the irregular mesh, multiple input functions, and ...
Zhongkai Hao +8 more
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Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential
Abstract and Applied Analysis, 2016 A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
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On the “splitting” effect for multipoint differential operators with summable potential
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the differential operator of the fourth order with multipoint boundary conditions. The potential of the differential operator is summable function on a finite segment.
Sergey I Mitrokhin
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A subordination results for a class of analytic functions defined by q-differential operator
, 2020 In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.
B. Frasin, G. Murugusundaramoorthy
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Geometry-Informed Neural Operator for Large-Scale 3D PDEs [PDF]
Neural Information Processing Systems, 2023 We propose the geometry-informed neural operator (GINO), a highly efficient approach to learning the solution operator of large-scale partial differential equations with varying geometries.
Zong-Yi Li +10 more
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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. +2 more
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Computer Methods in Applied Mechanics and Engineering, 2019 In this paper, a generalized finite difference method (GFDM) based on the Peridynamic differential operator (PDDO) is investigated. The weighted moving least square (MLS) procedure involved in the GFDM is replaced by the PDDO.
A. Shojaei +4 more
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