The Existence of Solutions for a Fractional 2m-Point Boundary Value Problems

By using the coincidence degree theory, we consider the following 2𝑚-point boundary value problem for fractional differential equation 𝐷𝛼0

[1]  Xinwei Su,et al.  Boundary value problem for a coupled system of nonlinear fractional differential equations , 2009, Appl. Math. Lett..

[2]  Johnny Henderson,et al.  Impulsive functional differential equations with variable times , 2004 .

[3]  J. Mawhin Topological degree and boundary value problems for nonlinear differential equations , 1993 .

[4]  I. Podlubny Fractional differential equations , 1998 .

[5]  Wenbin Liu,et al.  Solvability for fractional order boundary value problems at resonance , 2011 .

[6]  J. Trujillo,et al.  Differential equations of fractional order:methods results and problem —I , 2001 .

[7]  Zhanbing Bai,et al.  On positive solutions of a nonlocal fractional boundary value problem , 2010 .

[8]  V. Lakshmikantham,et al.  Theory of Fractional Dynamic Systems , 2009 .

[9]  Zhanbing Bai,et al.  Existence of solutions for nonlinear fractional three-point boundary value problems at resonance , 2011 .

[10]  V. Lakshmikantham,et al.  THEORY OF FRACTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS , 2007 .

[11]  O. Agrawal,et al.  Advances in Fractional Calculus , 2007 .

[12]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[13]  Nickolai Kosmatov,et al.  A boundary value problem of fractional order at resonance. , 2010 .

[14]  Zhanbing Bai,et al.  Existence of positive solution for singular fractional differential equation , 2009, Appl. Math. Comput..

[15]  O. Agrawal,et al.  Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering , 2007 .

[16]  Moffak Benchohra,et al.  Impulsive fractional differential equations with variable times , 2010, Comput. Math. Appl..

[17]  Tingting Qiu,et al.  Positive solutions for boundary value problem of nonlinear fractional differential equation. , 2008 .

[18]  V. Lakshmikantham,et al.  Basic theory of fractional differential equations , 2008 .

[19]  Chuanzhi Bai,et al.  Positive solutions for nonlinear fractional differential equations with coefficient that changes sign , 2006 .

[20]  Zhanbing Bai On solutions of some fractional $m$-point boundary value problems at resonance , 2010 .