On the existence of solutions for a multi-singular pointwise defined fractional system

Ali Mansouri, Shahram Rezapour, Mehdi Shabibi
2020 Advances in Difference Equations  
AbstractOne of best ways for increasing our abilities in exact modeling of natural phenomena is working with a singular version of different fractional differential equations. As is well known, multi-singular equations are a modern version of singular equations. In this paper, we investigate the existence of solutions for a multi-singular fractional differential system. We consider some particular boundary value conditions on the system. By using the α-ψ-contractions and locating some control
more » ... nditions, we prove that the system via infinite singular points has solutions. Finally, we provide an example to illustrate our main result.
doi:10.1186/s13662-020-03106-w fatcat:o7ccuitkcvh3zde74fygyugsfi