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

Advances in Difference Equations

article

Samei, Mohammad Esmael¹  Baleanu, Dumitru²  Rezapour, Shahram⁴ 

[1] Department of Mathematics, Bu Ali Sina University;Department of Mathematics, Cankaya University;Institute of Space Sciences;Institute of Research and Development, Duy Tan University;Faculty of Natural Sciences, Duy Tan University;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Computational algorithm;    Singularity;    System of q -differential equations;    The Caputo q -derivative;   

DOI  :  10.1186/s13662-020-02913-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY