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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 383 - 393 (11page)
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In this paper, numerical techniques are presented for solving initial value prob lems of fractional differential equations with variable coefficients. The method is derived by applying a Taylor vector approximation. Moreover, the operational matrix of fractional integration of a Taylor vector is provided in order to transform the continuous equations into a system of algebraic equations. Furthermore, numerical examples demonstrate that this method is applicable and accurate.
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참고문헌 (17)
참고문헌 신청
A. Arikoglu / 2007 / Solution of fractional differential equations by using differential transform method / Chaos Solitons Fract 34:1473~1481
S. El-Wakil / 2006 / Adomian decomposition method for solving fractional nonlinear differential equations / Appl. Math. Comput 182:313~324
M. Fouda / 2016 / Power and energy analysis of fractional-order electrical energy storage devices / Energy 111:785~792
G. Groza / 2013 / A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations / Comput. Math. Appl 66:1329~1343
M. K. Ishteva / 2005 / Properties and applications of the Caputo fractional operator
S. El-Wakil / 2006 / Adomian decomposition method for solving fractional nonlinear differential equations / Appl. Math. Comput 182:313~324
M. Fouda / 2016 / Power and energy analysis of fractional-order electrical energy storage devices / Energy 111:785~792
G. Groza / 2013 / A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations / Comput. Math. Appl 66:1329~1343
M. K. Ishteva / 2005 / Properties and applications of the Caputo fractional operator
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