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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제30권 제5호
- 발행연도
- 2012.1
- 수록면
- 773 - 785 (13page)
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In this paper, we establish sufficient conditions for the existence and uniqueness of solutions to a general class of three-point boundary value problems for a coupled system of nonlinear fractional differential equations. The differential operator is taken in the Caputo fractional derivatives. By using Green's function, we transform the derivative systems into equivalent integral systems. The existence is based on Schauder fixed point theorem and contraction mapping principle. Finally, some examples are given to show the applicability of our results.
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참고문헌 (26)
참고문헌 신청
V. Lakshmikantham / 2008 / General uniqueness and monotone iterative technique for fractional differential equations / Appl. Math. Lett 21:828~834
V. Lakshmikantham / 2009 / Nagumo-type uniqueness result for fractional differential equations / Nonlinear Anal 71:2886~2889
B. Ahmad / 2010 / Existence of solutions for fractional differential equations of order q 2 (2; 3] with anti-periodic boundary conditions / J. Appl. Math. Comput 34:385~391
Y. Chang / 2009 / Some new existence results for fractional differential inclusions with boundary conditions / Math. Comput. Model 49:605~609
M. Benchohra / 2009 / Boundary value problems for differential equations with fractional order and nonlocal conditions / Nonlinear Anal 71:2391~2396
V. Lakshmikantham / 2009 / Nagumo-type uniqueness result for fractional differential equations / Nonlinear Anal 71:2886~2889
B. Ahmad / 2010 / Existence of solutions for fractional differential equations of order q 2 (2; 3] with anti-periodic boundary conditions / J. Appl. Math. Comput 34:385~391
Y. Chang / 2009 / Some new existence results for fractional differential inclusions with boundary conditions / Math. Comput. Model 49:605~609
M. Benchohra / 2009 / Boundary value problems for differential equations with fractional order and nonlocal conditions / Nonlinear Anal 71:2391~2396
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