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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.22 No.1
- 발행연도
- 2018.3
- 수록면
- 63 - 74 (12page)
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초록· 키워드
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In this paper, we study the initial value problem for neutral functional differential equations involving Caputo fractional derivative of order α ϵ (0, 1) with infinite delay. Some sufficient conditions for the uniqueness and continuous dependence of solutions are established by virtue of fractional calculus and Banach fixed point theorem. Some results obtained showed that the solution was closely related to the conditions of delays and minor changes in the problem. An example is provided to illustrate the main results.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. UNIQUENESS RESULTS
4. CONTINUOUS DEPENDENCE
5. AN EXAMPLE
6. CONCLUSIONS
REFERENCES
참고문헌 (25)
참고문헌 신청
S. Abbas / 2011 / Existence of solutions to fractional order ordinary and delay differential equations and applications / Electronic Journal of Differential Equations 9:1~11
M. S. Abdo / 2017 / Existence and continuous dependence for fractional neutral functional differential equations / Journal of Mathematical Modeling(JMM) 5:153~170
M. S. Abdo / 2018 / Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations / Annals of Pure and Applied Mathematics 16:345~352
R. Agarwal / 2010 / Existence of fractional neutral functional differential equations / Computers and Mathematics with Applications 59:1095~1100
M. Benchohra / 2008 / Existence results for fractional order functional differential equations with infinite delay / Journal of Mathematical Analysis and Applications 338:1340~1350
M. S. Abdo / 2017 / Existence and continuous dependence for fractional neutral functional differential equations / Journal of Mathematical Modeling(JMM) 5:153~170
M. S. Abdo / 2018 / Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations / Annals of Pure and Applied Mathematics 16:345~352
R. Agarwal / 2010 / Existence of fractional neutral functional differential equations / Computers and Mathematics with Applications 59:1095~1100
M. Benchohra / 2008 / Existence results for fractional order functional differential equations with infinite delay / Journal of Mathematical Analysis and Applications 338:1340~1350
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