An increasing variables singular system of fractional q-differential equations via numerical calculations

Abstract

Abstract We investigate the existence of solutions for an increasing variables singular m-dimensional system of fractional q-differential equations on a time scale. In this singular system, the first equation has two variables and the number of variables increases permanently. By using some fixed point results, we study the singular system under some different conditions. Also, we provide two examples involving practical algorithms, numerical tables, and some figures to illustrate our main results.

Keywords

• Computational algorithm
• Singularity
• System of q-differential equations
• The Caputo q-derivative