New results on the existence of solutions of boundary value problems for singular fractional differential systems with impulse effectsY. Liu
Results on the existence of solutions to a new class of impulsive singular fractional differential systems with multiple base points
are established. The assumptions imposed on the nonlinearities, see ((C) and (D) in Theorem 3.1), are weaker than known ones, (i.e., (A)
in Introduction section). The analysis relies on the well known fixed point
theorems. An example is given to illustrate the efficiency of the
main theorems. The investigation shows that these results and methods are helpful for study in the nonlinear area and the numerical simulation,
especially for study in the the numerical solution of a fractional differential equation with multiple base points with or without impulse effects.
A section "Conclusions" is given with future work research directions.
Tbilisi Mathematical Journal, Vol. 8(2) (2015), pp. 1-22 |