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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.25 No.1
- 발행연도
- 2025.3
- 수록면
- 87 - 96 (10page)
- DOI
- 10.5391/IJFIS.2025.25.1.87
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초록· 키워드
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This paper explores the application of fuzzy theory in the fuzzification and defuzzification of linear and nonlinear initial value problems by employing a fractional derivative with Mittag- Leffler kernels. A semi-analytical technique based on the optimal homotopy asymptotic method (OHAM) is utilized to solve fuzzy fractional differential equations (FFDEs) using the generalized fractional operator of the Caputo type (ABC) with three-parameter Mittag- Leffler kernels. The existence of the solution for the new parameters Eσν,ξ is validated. The findings indicate that this technique can approximate the solutions for a wide range of FFDEs. The operator is combined with OHAM to develop a new system for generating successive approximations. This approach demonstrates effectiveness, superiority, and flexibility, yielding accurate and reliable results.
목차
Abstract
1. Introduction
2. Preliminaries
3. General Fuzzy Fractional Initial Value Problems and Convergent Analysis OHAM
4. Applications
5. Conclusion
References
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