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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.23 No.4
- 발행연도
- 2023.12
- 수록면
- 409 - 417 (9page)
- DOI
- 10.5391/IJFIS.2023.23.4.409
이용수
초록· 키워드
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This paper discusses fractional partial differential equations that provide a more accurate representation of complex phenomena than classical partial differential equations. Specifically, the natural Daftardar-Jafari method is developed and applied for the first time to solving the fuzzy time-fractional wave equation, where the fractional order is 1 < α ≤ 2. Fuzziness is presented through convex normalized triangular fuzzy numbers under the initial and boundary conditions. The time-fractional derivative is defined using the Caputo formula, and the convergence of the proposed approach is also discussed. An example with numerical values is provided to demonstrate the practicality of the method, and it is shown that the outcomes obtained corresponded to those produced by other established, well-known methods used to solve identical issues.
목차
Abstract
1. Introduction
2. Time-FractionalWave Equation in Fuzzy Environment
3. The Fuzzy Natural Daftardar-Jafari Method for the Solution of FTFWE
4. Convergence of the Fuzzy Natural Daftardar-Jafari Method
5. Example
6. Conclusion
References
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