Numerical solutions, Convergence and Global stability of delayed differential system with delay in the state variable of the Caputo derivative
Surendra Kumar,
Abhishek Sharma,
Harendra Pal Singh
Abstract:The aim of this paper is to investigate the numerical solutions of delayed fractional differential equations (FDEs). A constant time delay is taken in the Caputo derivative of the state variable and also in the state variable. To obtain solutions, we extend the block boundary value method (BBVM) and show the convergence of the resulting scheme. Further, it is found that the order of convergence is $\min\{m,q-\delta+1\}$, where $m$ and $q$ are the order and block-size of the BBVM, respectively, and $\delta$ li… Show more
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