Stability theory and existence of solution to a multi-point boundary value problem of fractional differential equations

摘要

The aims and objectives of this manuscript are concerned with the investigation of some appropriate conditions to establish existence theory of solutions to a class of nonlinear four-point boundary value problem (BVP) corresponding to fractional order differential equations (FODEs) provided as $$egin{aligned} left{ egin{aligned} ^{c}&{mathscr {D}}^{omega }y(t)={mathcal {F}}left(t, y(t), {^{c}{mathscr {D}}^{omega -1}y(t)}ight),1