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논문 기본 정보
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- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제34권 제3호
- 발행연도
- 2016.1
- 수록면
- 269 - 284 (16page)
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In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0<t<1, $D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ？<sub>p</sub>(s) = |s|<sup>p</sup><sup>？2</sup>s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0<t<1, $D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ？<sub>p</sub>(s) = |s|<sup>p</sup><sup>？2</sup>s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).
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참고문헌 (34)
참고문헌 신청
R.P. Agarwal / 2010 / Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations / J. Math. Anal. Appl 371:57~68
R.P. Agrawal / 2002 / Formulation of Euler-Larange equations for fractional variational problemsm / J. Math. Anal. Appl 271:368~379
R.L. Bagley / 1986 / On the fractional calculus model of viscoelastic behavior / J. Rheol 30:133~155
Z. Bai / 2005 / Positive solutions for boundary value problem of nonlinear fractional differential equation / J. Math. Anal. Appl 311:495~505
Z. Bai / 2012 / Eigenvalue intervals for a class of fractional boundary value problem / Comput. Math. Appl 64:3253~3257
R.P. Agrawal / 2002 / Formulation of Euler-Larange equations for fractional variational problemsm / J. Math. Anal. Appl 271:368~379
R.L. Bagley / 1986 / On the fractional calculus model of viscoelastic behavior / J. Rheol 30:133~155
Z. Bai / 2005 / Positive solutions for boundary value problem of nonlinear fractional differential equation / J. Math. Anal. Appl 311:495~505
Z. Bai / 2012 / Eigenvalue intervals for a class of fractional boundary value problem / Comput. Math. Appl 64:3253~3257
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