Existence of solutions of impulsive anti-periodic type boundary value problems for singular fractional differential systems (Q1800659)

This paper deals with the existence of at least one solution for a particular class of coupled systems of impulsive differential equations with fractional order. The author prefers to use the fractional orders sliding in the interval \((0,1)\). For solving this fractional impulsive boundary value problem, the author uses the Leray-Schauder nonlinear alternative acting on Fredholm operators of index zero. It may be worthy to mention that the author has used some weaker assumptions to control the growth of nonlinearities in comparison with those applied in [\textit{X. Wang} and \textit{C. Bai}, Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 3, 15 p. (2011; Zbl 1207.35029)].