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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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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.3
- 발행연도
- 2018.9
- 수록면
- 163 - 177 (15page)
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초록· 키워드
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This paper successfully applies the modified Adomian decomposition method to find the approximate solutions of the Caputo fractional integro-differential equations. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximation. Moreover, we proved the existence and uniqueness results and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. MODIFIED ADOMIAN DECOMPOSITION METHOD
4. MAIN RESULTS
5. ILLUSTRATIVE EXAMPLE
6. CONCLUSIONS
REFERENCES
참고문헌 (20)
참고문헌 신청
[학술지(정기간행물)] - K. Abbaoui / 1994 / Convergence of Adomian's method applied to nonlinear equations / Math. Comput. Modelling 20 (9) : 69 ~ 73
[학술지(정기간행물)] - G. Adomian / 1988 / A review of the decomposition method in applied mathematics / J. Math. Anal. Appl. 135 (2) : 501 ~ 544
[학술지(정기간행물)] - S. Alkan / 2017 / Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order / Tbilisi Mathematical Journal 10 (2) : 1 ~ 13
[학술지(정기간행물)] - M. AL-Smadi / 2014 / On the homotopy analysis method for fractional SEIR epidemic model / Research J. Appl. Sci. Engrg. Technol. 7 (18) : 3809 ~ 3820
[학술지(정기간행물)] - M. Bani Issa / 2017 / Hybrid method for solving nonlinear Volterra-Fredholm integro-differential equations / J. Math. Comput. Sci. 7 (4) : 625 ~ 641
[학술지(정기간행물)] - G. Adomian / 1988 / A review of the decomposition method in applied mathematics / J. Math. Anal. Appl. 135 (2) : 501 ~ 544
[학술지(정기간행물)] - S. Alkan / 2017 / Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order / Tbilisi Mathematical Journal 10 (2) : 1 ~ 13
[학술지(정기간행물)] - M. AL-Smadi / 2014 / On the homotopy analysis method for fractional SEIR epidemic model / Research J. Appl. Sci. Engrg. Technol. 7 (18) : 3809 ~ 3820
[학술지(정기간행물)] - M. Bani Issa / 2017 / Hybrid method for solving nonlinear Volterra-Fredholm integro-differential equations / J. Math. Comput. Sci. 7 (4) : 625 ~ 641
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