THE METHODS OF FRACTIONAL BACKWARD DIFFERENTIATION FORMULAS FOR SOLVING TWO-TERM FRACTIONAL DIFFERENTIAL SYLVESTER MATRIX EQUATIONS

被引：0
作者：
Sadek L. [1 ]
机构：
[1] Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida
来源：
Applied Set-Valued Analysis and Optimization | 2024年 / 6卷 / 02期
关键词：
Fractional backward differentiation formulas method; Fractional differential equation; Grünwald approximation; Two-term time-fractional telegraph equation;
D O I：
10.23952/asvao.6.2024.2.02
中图分类号：
学科分类号：
摘要：
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. ©2024 Applied Set-Valued Analysis and Optimization.
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页码：137 / 155
页数：18
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