Approximate solution of multi-term fractional differential equations via a block-by-block method
From MaRDI portal
Publication:6591524
DOI10.1016/j.cam.2024.116135zbMath1545.65502MaRDI QIDQ6591524
Sedaghat Shahmorad, R. Katani, Dajana Conte
Publication date: 22 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
weakly singular integral equationsBagley-Torvik equationblock-by-block methodmulti-term fractional differential equations
Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Volterra integral equations (45D05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical method for solving boundary value problems for fractional differential equations
- A block by block method with Romberg quadrature for the system of Urysohn type Volterra integral equations
- A new block by block method for solving two-dimensional linear and nonlinear Volterra integral equations of the first and second kinds
- On the fractional signals and systems
- A collocation-shooting method for solving fractional boundary value problems
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Block by block method for the systems of nonlinear Volterra integral equations
- A new operational matrix for solving fractional-order differential equations
- Abel integral equations. Analysis and applications
- Fractals and fractional calculus in continuum mechanics
- Numerical methods for the solution of partial differential equations of fractional order.
- A new approach to the numerical solution of weakly singular Volterra integral equations.
- A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation
- Two-step collocation methods for fractional differential equations
- The block-by-block method with Romberg quadrature for the solution of nonlinear Volterra integral equations on large intervals
- Stability analysis of spline collocation methods for fractional differential equations
- Superconvergence of system of Volterra integral equations by spectral approximation method
- On the fractional Laplacian of variable order
- Stability of two-step spline collocation methods for initial value problems for fractional differential equations
- Time-space fabric underlying anomalous diffusion
- Generalised Discrete Gronwall Lemmas
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Computational Methods for Integral Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Numerical solution of the Bagley–Torvik equation by the Bessel collocation method
- A BLOCK BY BLOCK METHOD FOR SOLVING SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH CONTINUOUS AND ABEL KERNELS
- The application of approximate product-integration to the numerical solution of integral equations
- Stability of fractional-order systems with Prabhakar derivatives
- Approximated superconvergent methods for Volterra Hammerstein integral equations
This page was built for publication: Approximate solution of multi-term fractional differential equations via a block-by-block method