Galerkin finite element method for nonlinear fractional differential equations (Q2048819)
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| Language | Label | Description | Also known as |
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| English | Galerkin finite element method for nonlinear fractional differential equations |
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Galerkin finite element method for nonlinear fractional differential equations (English)
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24 August 2021
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The paper studies some analytical properties of a boundary value problem with a fractional ordinary differential equation of Riemann-Liouville or Caputo type whose order is in \((1,2)\), associated with homogeneous Dirichlet boundary conditions and a specific type of nonlinearities. For the approximate solution of such problems under certain conditions on the given data, a finite element method is described and investigated.
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fractional differential operators
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Caputo derivative
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Riemann-Liouville derivative
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variational formulation
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nonlinear operators
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Galerkin method
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