Results 261 to 270 of about 282,929 (321)

Sylvester Equations and the numerical solution of partial fractional differential equations

Journal of Computational Physics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matthew Harker, Paul O'Leary
openaire   +2 more sources

Fractional sub-equation neural networks (fSENNs) method for exact solutions of space-time fractional partial differential equations.

Chaos
Analytical solutions of space-time fractional partial differential equations (fPDEs) are crucial for understanding dynamics features in complex systems and their applications.
Jiawei Wang, Yanqin Liu, Limei Yan, K. Han, Libo Feng, Runfa Zhang   +5 more
semanticscholar   +1 more source

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

2018
Santanu Saha Ray, Arun Kumar Gupta
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Analytical solutions of linear fractional partial differential equations using fractional Fourier transform

Journal of Computational and Applied Mathematics, 2021
This paper discusses the analytical solutions of fractional partial differential equations using Integral Transform method. The fractional derivatives are considered with reference to modified Riemann–Liouville derivatives.
Teekam Chand Mahor, Rajshree Mishra, R. Jain   +2 more
semanticscholar   +1 more source

A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations

, 2021
In this paper, we propose a numerical method for solving distributed-order fractional partial differential equations (FPDEs). For this method, we first introduce fractional-order generalized Taylor wavelets (FOGTW).
Boonrod Yuttanan, M. Razzaghi, Thieu N. Vo   +2 more
semanticscholar   +1 more source

Fractional Green's function for fractional partial differential equations

Journal Européen des Systèmes Automatisés, 2008
Fractional order partial differential equations, as generalization of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of application. In this paper we derive an explicit representation of the fractional Green's function for a class of fractional partial differential ...
Zaid Odibat, Shaher Momani
openaire   +1 more source

On a stochastic fractional partial differential equation with a fractional noise

Stochastics, 2011
We will prove the existence, uniqueness and regularity of the solution for a stochastic fractional partial differential equation driven by an additive fractional space–time white noise. Moreover, the absolute continuity of the solution is also obtained.
Kehua Shi, Yongjin Wang
openaire   +1 more source

Time- and space-fractional partial differential equations

Journal of Mathematical Physics, 2005
The fundamental solution for time- and space-fractional partial differential operator Dtλ+a2(−▵)γ∕2(λ,γ>0) is given in terms of the Fox’s H-function. Here the time-fractional derivative in the sense of generalized functions (distributions) Dtλ is defined by the convolution Dtλf(t)=Φ−λ(t)*f(t), where Φλ(t)=t+λ−1∕Γ(λ) and f(t)≡0 as t<0, and
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Controllability of impulsive fractional stochastic partial differential equations

2013 10th IEEE International Conference on Control and Automation (ICCA), 2013
In this paper, we study a class of control systems driven by the impulsive fractional order differential equations in Hilbert space. By using fixed point method, fractional calculations, stochastic analysis technique, a new set of sufficient conditions are derived for achieving the required result.
Lei Zhang, Yongsheng Ding, Kuangrong Hao, Tong Wang 0013   +3 more
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Isogeometric analysis for time-fractional partial differential equations

Numerical Algorithms, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xindi Hu, Shengfeng Zhu
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