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In this paper, we investigate the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition by means of the method of upper and lower solutions and monotone iterative method. Using the theory of Kuratowski measure of noncompactness, a series of results about mild solutions are obtained. Finally, two examples are given to illustrate our results.
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참고문헌 (33)
참고문헌 신청
R. P. Agarwal / 2010 / A survey on existence results for boundary value problems of nonlinear fractional dierential equations and inclusions / Acta Appl. Math 109(3):973~1033
A. Aghajani / 2013 / Some generalizations of Darbo xed point the-orem and applications / Bull. Belg. Math. Soc. Simon Stevin 20(2):345~358
B. Ahmad / 2009 / Existence results for nonlinear impulsive hybrid bound-ary value problems involving fractional dierential equations / Nonlinear Anal. Hybrid Syst 3(3):251~258
Z. Bai / 2016 / Existence results for impulsive nonlinear fractional dif-ferential equation with mixed boundary conditions / Bound. Value Probl. 2016
K. Balachandran / 2010 / Existence of solutions of abstract fractional impulsive semilinear evolution equations / Electron. J. Qual. Theory Dier. Equ 2010(4):12
A. Aghajani / 2013 / Some generalizations of Darbo xed point the-orem and applications / Bull. Belg. Math. Soc. Simon Stevin 20(2):345~358
B. Ahmad / 2009 / Existence results for nonlinear impulsive hybrid bound-ary value problems involving fractional dierential equations / Nonlinear Anal. Hybrid Syst 3(3):251~258
Z. Bai / 2016 / Existence results for impulsive nonlinear fractional dif-ferential equation with mixed boundary conditions / Bound. Value Probl. 2016
K. Balachandran / 2010 / Existence of solutions of abstract fractional impulsive semilinear evolution equations / Electron. J. Qual. Theory Dier. Equ 2010(4):12
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