Skip to content

Lakhlifa Sadek, The methods of fractional backward differentiation formulas for solving two-term fractional differential Sylvester matrix equations

Full Text: PDF
DOI: 10.23952/asvao.6.2024.2.02
Volume 6, Issue 2, 1 August 2024, Pages 137-155

 

Abstract. In this paper, we present the fractional backward differentiation formulas for the numerical solutions of two-term fractional differential Sylvester matrix equations in the Caputo derivative sense, which includes the celebrated two-term fractional differential Lyapunov matrix equations. We give two applications in a two-term time-fractional telegraph equation with illustrative examples. In addition, we also consider two examples to illustrate the effectiveness of the proposed approaches.

 
How to Cite this Article:
L. Sadek, The methods of fractional backward differentiation formulas for solving two-term fractional differential Sylvester matrix equations, Appl. Set-Valued Anal. Optim. 6 (2024), 137-155.