Central part interpolation schemes for fractional differential equations
DOI10.1016/j.apnum.2023.06.012zbMath1540.6556MaRDI QIDQ6546955
Margus Lillemäe, Arvet Pedas, Mikk Vikerpuur
Publication date: 30 May 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
collocationCaputo fractional derivativefractional integro-differential equationweakly singular integral equation
Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Which functions are fractionally differentiable?
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- A nonpolynomial collocation method for fractional terminal value problems
- Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations
- Multidimensional weakly singular integral equations
- Piecewise polynomial approximations for integral equations with diagonal and boundary singularities
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Numerical solution of fractional differential equations: a survey and a software tutorial
- Collocation methods for general Caputo two-point boundary value problems
- Smoothing transformation and spline collocation for linear fractional boundary value problems
- Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
- Stability of two-step spline collocation methods for initial value problems for fractional differential equations
- A new collection of real world applications of fractional calculus in science and engineering
- Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions
- Central part interpolation schemes for integral equations with singularities
- A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
- NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS WHICH MAY HAVE A BOUNDARY SINGULARITY
- Central Part Interpolation Schemes for Integral Equations
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- TWO COLLOCATION TYPE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS
- Central part interpolation schemes for a class of fractional initial value problems
This page was built for publication: Central part interpolation schemes for fractional differential equations
