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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.1
- 발행연도
- 2019.1
- 수록면
- 175 - 184 (10page)
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초록· 키워드
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In this paper, the collocation method for the approximate solution of higher order multiterm fractional differential equations (FDEs) in terms of Chebyshev polynomials. The multi-term FDEs and its initial or boundary conditions are transformed into equations, which correspond to a system of algebraic equations with unknown Chebyshev coefficients. The solution of this system yields the Chebyshev coefficients of the solution formula. Several numerical examples, such as Cauchy and Bagley-Torvik fractional differential equations are provided to confirm the accuracy and the effectiveness of the proposed method. Numerical simulation with the exact solution of FDEs is presented. The graph and approximate solution are calculated in MATLAB.
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참고문헌 (21)
참고문헌 신청
Magin RL / 2006 / Fractional Calculus in Bioengineering / Begell House Publishers
Miller KS / 1993 / An Introduction to the fractional calculus and fractional differential equations / John Wiley
Ortigueira M / 2000 / Introduction to fraction linear systems. Part 2: discrete-time case / IEE Proc, Vis, Image Signal Process 147:71~78
Deng J / 2010 / Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations / Appl Math Lett 23:676~680
Kilbas AA / 2006 / Theory and applications of fractional differential equations / Elsevier
Miller KS / 1993 / An Introduction to the fractional calculus and fractional differential equations / John Wiley
Ortigueira M / 2000 / Introduction to fraction linear systems. Part 2: discrete-time case / IEE Proc, Vis, Image Signal Process 147:71~78
Deng J / 2010 / Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations / Appl Math Lett 23:676~680
Kilbas AA / 2006 / Theory and applications of fractional differential equations / Elsevier
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