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논문 기본 정보
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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.25 No.1
- 발행연도
- 2021.3
- 수록면
- 16 - 25 (10page)
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This paper is studied the existence of a solution for the impulsive Cauchy problem involving the Caputo fractional derivative in Banach space by using topological structures. We based on using topological degree method and fixed point theorem with some suitable conditions. Further, some topological properties for the set of solutions are considered. Finally, an example is presented to demonstrate our results.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULTS
CONCLUSION
REFERENCES
참고문헌 (15)
참고문헌 신청
A. A. Kilbas / 2006 / Theory and applications of fractional differential equations / North-Holland Mathematics Studies. Amsterdam: Elsevier 204
K.S. Miller / 1993 / An Introduction to the Fractional Calculus and Differential Equations / John Wiley
I. Podlubny / 1999 / Fractional Differential Equation / Academic Press
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
M. Feckan / 2008 / Topological Degree Approach to Bifurcation Problems / Topological Fixed Point Theory and its Applications 5
K.S. Miller / 1993 / An Introduction to the Fractional Calculus and Differential Equations / John Wiley
I. Podlubny / 1999 / Fractional Differential Equation / Academic Press
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
M. Feckan / 2008 / Topological Degree Approach to Bifurcation Problems / Topological Fixed Point Theory and its Applications 5
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