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A finite difference method for fractional partial differential equation
Applied Mathematics and Computation, 2009The author discusses the numerical solution of some space-time fractional order partial differential equations. One practical implicit numerical method is proposed to solve a class of initial-boundary value space-time fractional convection-diffusion equations with variable coefficients.
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Fractional Partial Differential Equations and Their Applications
Fractional partial differential equations (FPDEs) extend classical PDEs by allowing differentiation of non-integer (fractional) order. Over the past two decades, FPDEs have been recognised as powerful tools for modelling physical, biological, and financial systems that exhibit anomalous diffusion, long-range dependence, and memory effects.openaire +1 more source
Numerical solution of fractional partial differential equations via Haar wavelet
Numerical Methods for Partial Differential Equations, 2022Imran Aziz
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Neural network method for fractional-order partial differential equations
Neurocomputing, 2020Haidong Qu
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The existence of mild solutions for impulsive fractional partial differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2011Xiao-Bao Shu, Yuming Chen
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Solving nonlinear fractional partial differential equations using the homotopy analysis method
Numerical Methods for Partial Differential Equations, 2010Mehdi Dehghan +2 more
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Numerical methods for fractional partial differential equations
International Journal of Computer Mathematics, 2018Changpin Li, An Chen
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