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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국지능시스템학회 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol.21 No.1
- 발행연도
- 2021.3
- 수록면
- 76 - 85 (10page)
- DOI
- 10.5391/IJFIS.2021.21.1.76
이용수
초록· 키워드
오류제보하기
In this study, the homotopy perturbation sumudu transform method (HPSTM) is employed to find the analytical fuzzy solution of nonlinear fuzzy integro-differential equations (FIDEs). The solutions of FIDEs are more generalized and have better applications. The fuzzy concept is used to overrule the uncertainty in physical models. Based on the parametric form of the fuzzy number, the nonlinear integro-differential equation (IDE) is converted into two systems of nonlinear IDEs of the second kind. Some numerical examples were solved to demonstrate the efficiency and capability of the method. Graphical representations reveal the symmetry between lower and upper cut representations of fuzzy solutions and may be helpful for a better understanding of fuzzy control models, artificial intelligence, medical science, quantum optics, measure theory, and so on.
목차
Abstract
1. Introduction
2. Preliminaries
3. Methodology Description
4. Numerical Applications
5. Conclusion
References
참고문헌 (19)
참고문헌 신청
L.A. Zadeh / 1965 / Fuzzy sets / Information and Control 8(3):338~353
L. A. Zadeh / 1976 / A fuzzy-algorithmic approach to the definition of complex or imprecise concepts / International Journal of Man-machine studies 8(3):249~291
Didier Dubois / 1982 / Towards fuzzy differential calculus part 1: Integration of fuzzy mappings / Fuzzy Sets and Systems 8(1):1~17
Kamal Shah / 2020 / Evaluation of one dimensional fuzzy fractional partial differential equations / Alexandria Engineering Journal 59(5):3347~3353
Naveed Ahmad / 2021 / On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation / Alexandria Engineering Journal 60(1):1827~1838
L. A. Zadeh / 1976 / A fuzzy-algorithmic approach to the definition of complex or imprecise concepts / International Journal of Man-machine studies 8(3):249~291
Didier Dubois / 1982 / Towards fuzzy differential calculus part 1: Integration of fuzzy mappings / Fuzzy Sets and Systems 8(1):1~17
Kamal Shah / 2020 / Evaluation of one dimensional fuzzy fractional partial differential equations / Alexandria Engineering Journal 59(5):3347~3353
Naveed Ahmad / 2021 / On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation / Alexandria Engineering Journal 60(1):1827~1838
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