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

Mohammad Esmael Samei, Dumitru Baleanu, Shahram Rezapour
2020 Advances in Difference Equations  
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. MSC:
more » ... main results. MSC: Primary 34A08; 39A13; secondary 39B72
doi:10.1186/s13662-020-02913-5 fatcat:fvo2dqruojggbbdagq34g3eex4