Solving Multiterm Fractional Differential Equations (FDE)

Solve Multiterm Fractional Differential Equations by first-order implicit product trapezoidal rule
958 Downloads
Updated 18 Jan 2024

View License

MT_FDE_PI1_Im Solves on the interval [t0,T] an initial value problem for the multiterm fractional differential equation
lam_Q D^(al_Q) y(t) + ... + lam_1 D^(al_1) y(t) = f(t,y(t))
y(0) = y0(1), y'(0) = y0(2), ... y^m(0) = y0(m)
with m the smallest integer greater than max(al_1,...,al_Q). The problem is solved by means of the implicit product-integration rule of rectangular type having order 1 of convergence.
Further information on this code are available in the following paper
[1] Garrappa R.: Numerical Solution of Fractional Differential Equations: a Survey and a Software Tutorial, Mathematics 2018, 6(2), 16 doi: https://doi.org/10.3390/math6020016
downloadable pdf: http://www.mdpi.com/2227-7390/6/2/16/pdf

Cite As

Roberto Garrappa (2024). Solving Multiterm Fractional Differential Equations (FDE) (https://www.mathworks.com/matlabcentral/fileexchange/66603-solving-multiterm-fractional-differential-equations-fde), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2014a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.1

Solved a minor bug in the construction of the grid

1.0.0.0