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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
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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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Numerical solution of fractional partial differential equations via Haar wavelet

Numerical Methods for Partial Differential Equations, 2020
Haar wavelet collocation method is applied for the numerical solution of fractional partial differential equations. The proposed method is first applied to one‐dimensional fractional partial differential equations and then it is extended to higher ...
Laique Zada, I. Aziz
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Application to Partial Fractional Differential Equation

2019
Numerical methods for fractional partial differential equations have also been intensively studied and many already published papers can be found in the literature. Due to their wider application in modelling complex real-world problems, several numerical schemes have been suggested.
Kolade M. Owolabi, Abdon Atangana
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Fractional order solutions to fractional order partial differential equations

SeMA Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhupendra Nath Tiwari, Dimple Singh Thakran, Priyanka Sejwal, Antim Vats, Santosh Yadav   +4 more
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Image Enhancement Using Fractional Partial Differential Equation

2019 Second International Conference on Advanced Computational and Communication Paradigms (ICACCP), 2019
Image enhancement is one of the important task in image processing. It has valuable applications in engineering, science, medical and many more research fields. Numerous image enhancement methods can be found in the literature. Many of them use partial differential equation(PDE). The PDE has been used in image denoising and enhancement.
Dharmendra Sharma, Saroj Kumar Chandra, Manish Kumar Bajpai   +2 more
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A new approximation of conformable time fractional partial differential equations with proportional delay

, 2020
In this work, we introduced novel approximate numerical approach, so called “extended reduced conformable differential transform method (ERC-DTM)” which is the implementation of DTM for conformable time fractional partial differential equations with ...
B. K. Singh, S. Agrawal
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Symmetry group analysis of several coupled fractional partial differential equations

Chaos, Solitons & Fractals, 2023
Jian‐gen Liu, Xiao-jun Yang
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Solving a Nonlinear Fractional Stochastic Partial Differential Equation with Fractional Noise

Journal of Theoretical Probability, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Junfeng, Yan, Litan
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Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations

Applied Mathematics and Computation, 2018
In this paper, we consider a new fractional function based on Legendre and Laguerre polynomials for solving a class of linear and nonlinear time-space fractional partial differential equations with variable coefficients.
Haniye Dehestani, Y. Ordokhani, M. Razzaghi   +2 more
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