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논문 기본 정보
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- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.24 No.2
- 발행연도
- 2020.6
- 수록면
- 229 - 242 (14page)
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초록· 키워드
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Functional fractional differential inclusions with impulse effects in general Banach spaces are studied. We discuss the situation when the semigroup generated by the linear part is equicontinuous and the multifunction is Caratheodory. First, we define the PC-mild solutions for functional fractional semilinear impulsive differential inclusions. We then prove the existence of PC-mild solutions for such inclusions by using the fixed point theorem, multivalued properties and applications of NCHM (noncompactness Hausdorff measure). Eventually, we enhance the acquired results by giving an example.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES AND NOTATIONS
3. MAIN RESULTS
4. EXAMPLE
CONCLUSION
REFERENCES
참고문헌 (27)
참고문헌 신청
Z. Agur / 1993 / Pulse mass measles vaccination across age shorts / Proc. Natl. Acad. Sci. USA 90:11698~11702
G. Ballinger / 2003 / Boundedness for impulsive delay differential equations and applications in populations growth models / Nonlinear Anal 53:1041~1062
A. D. Onofrio / 2005 / On pulse vaccination strategy in the SIR epidemic model with vertical transmission / Appl. Lett. 18:729~732
M. Benchohra / 2007 / Impulsive Differential Equations and Inclusions Hindawi
Z. Fan / 2010 / Impulsive problems for semilinear differential equations with nonlocal conditions / Nonlinear Anal. 72:1104~1109
G. Ballinger / 2003 / Boundedness for impulsive delay differential equations and applications in populations growth models / Nonlinear Anal 53:1041~1062
A. D. Onofrio / 2005 / On pulse vaccination strategy in the SIR epidemic model with vertical transmission / Appl. Lett. 18:729~732
M. Benchohra / 2007 / Impulsive Differential Equations and Inclusions Hindawi
Z. Fan / 2010 / Impulsive problems for semilinear differential equations with nonlocal conditions / Nonlinear Anal. 72:1104~1109
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UCI(KEPA) : I410-ECN-0101-2020-410-000855129