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一类具有Riemann-Liouville分数阶积分边值条件的奇异分数阶微分方程解的存在性 被引量：3

An Existence Result for a Class of Singular Fractional Differential Equation with Riemann-Liouville Fractional Integral Conditions
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摘要 研究一类具有Riemann-Liouville分数阶积分边值条件的奇异分数阶微分方程解的存在性,其非线性项包含Caputo型分数阶导数,且在t=0具有奇异性.应用Schauder不动点定理获得了解的存在性定理,并给出了应用实例. A class of boundary value problem of singular fractional differential equation with Riemann-Liouville fractional integral conditions is investigated, which involves the Ca- puto fractional derivative in nonlinear terms and nonlinear terms can be singualr at O. By using Schauder fixed point theory , The suffcient conditions on the existence of solution for the boundary value problem are established. Finally, an example is given to illustrate the application of the result.
作者 李仁贵
机构地区 济宁学院数学系
出处 《数学的实践与认识》 北大核心 2015年第11期285-293,共9页 Mathematics in Practice and Theory
关键词 积分边值问题 奇异分数阶微分方程 Caputo型分数阶导数 不动点定理 integral boundary value problem singular fractional differential equation Ca-puto fractional derivative fixed ponit theory
分类号 O175.8 [理学—基础数学]
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参考文献5

  • 1Sudsutad W, Tariboon J. Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions[J]. Advances in Difference Equations, 2012, 2012(1): 1-10.
  • 2Guezane-Lakoud A, KhMdi R . Solvability of a fractional boundary vaule problem with fractional integral condition[J]. Nonlinear Analysis: Theory, Methods and Applications, 2012, 75(4): 2692- 2700.
  • 3Tariboon J, Sitthiwirattham T , Ntouyas S K. Boundary value problems for a new class of three- point nonlocal Riemann-Liouville integral boundary conditions[J]. Advances in Difference Equa- tions, 2013, 2013(1): 1-14.
  • 4Ahmad B, Ntouyas S K, Alsaedi A. An existence result for fractional differential inclusions with nonlinear integral boundary conditions[J]. Journal of Inequalities and Applications, 2013, 296(1): 1-9.
  • 5李耀红,张海燕.一类具有Riemann-Liouville分数阶积分条件的分数阶微分方程边值问题[J].高校应用数学学报（A辑）,2014,29(1):24-30. 被引量：2

二级参考文献10

  • 1Webb J R L, Infante G. Semi-positone nonlocal boundary value problems of arbitrary or- der[J]. Communications on Pure and Applied Analysis, 2009, 9(2): 563-581.
  • 2Wei Zhongli, Li Qingdong, Che Junling. Initial value problems for fractional differential equations involving Rieman-Liouville sequential fractional derivative[J]. Journal of Mathe- matical Analysis and Applications, 2010, 367(1): 260-272.
  • 3Caffarelli L, Vasseur A. Drift diffusion equations with fractional diffusion and the quasi- geostrophic equation[J]. Annals of Mathematics, 2010, 171(3): 1903-1930.
  • 4Lan Kunquan, Lin Wei. Multiple positive solutions of systems of Hammerstein integral equations with applications to fractional differential equations[J]. Journal of the London Mathematical Society, 2011, 83(2): 449-469.
  • 5Sudsutad W, Tariboon J. Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions[J]. Advances in Difference Equations, 2012, 2012(1): 1-10.
  • 6Guezane-Lakoud A, Khaldi R. Solvability of a fractional boundary value problem with frac- tional integral condition[J]. Nonlinear Analysis: Theory, Methods and Applications, 2012, 75(4): 2692-2700.
  • 7Tariboon J, Sitthiwirattham T, Ntouyas S K. Boundary value problems for a new class of three-point nonlocal Riemann-Li6uville integral boundary conditions[J]. Advances in Differ- ence Equations, 2013, 2013(1): 1-14.
  • 8Ahmad B, Ntouyas S K, Alsaedi A. An existence result for fractional differential inclusions with nonlinear integral boundary conditions[J]. Journal of Inequalities and Applications, 2013, 296(1): 1-9.
  • 9Kilbas, A A, Srivastava, H M, Trujillo, J J. Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies[M]. Amsterdam: Elsevier, 2006.
  • 10Deimling K. Nonlinear Functional Analysis[M]. Berlin: spring-Verlag, 1985.

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数学的实践与认识
2015年 第11期

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