Existence of Positive Solution for Semipositone Fractional Differential Equations Involving Riemann-Stieltjes Integral Conditions

The existence of at least one positive solution is established for a class of semipositone fractional differential equations with Riemann-Stieltjes integral boundary condition. The technical approach is mainly based on the fixed-point theory in a cone.

[1]  Xinguang Zhang,et al.  Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations , 2012, Appl. Math. Lett..

[2]  Lishan Liu,et al.  Positive solutions for nonlinear nth-order singular eigenvalue problem with nonlocal conditions , 2010 .

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

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

[5]  J. Webb.  Nonlocal conjugate type boundary value problems of higher order , 2009 .

[6]  Xinguang Zhang,et al.  Positive solutions of superlinear semipositone singular Dirichlet boundary value problems , 2006 .

[7]  R. Metzler,et al.  Relaxation in filled polymers: A fractional calculus approach , 1995 .

[8]  Gennaro Infante,et al.  Positive Solutions of Nonlocal Boundary Value Problems: A Unified Approach , 2006 .

[9]  Lishan Liu,et al.  Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity , 2011 .

[10]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[11]  W. Ames,et al.  Nonlinear problems in abstract cones , 1988 .

[12]  Yonghong Wu,et al.  Multiple positive solutions of a singular fractional differential equation with negatively perturbed term , 2012, Math. Comput. Model..

[13]  Yonghong Wu,et al.  Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives , 2012, Appl. Math. Comput..

[14]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[15]  Xinguang Zhang,et al.  Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives , 2012 .

[16]  Lishan Liu,et al.  Positive solutions for a nonlocal fractional differential equation , 2011 .

[17]  Yonghong Wu,et al.  The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives , 2012, Appl. Math. Comput..

[18]  Christopher S. Goodrich,et al.  Existence of a positive solution to a class of fractional differential equations , 2010, Appl. Math. Lett..

[19]  Shuqin Zhang,et al.  Positive solutions to singular boundary value problem for nonlinear fractional differential equation , 2010, Comput. Math. Appl..

[20]  T F Nonnenmacher,et al.  A fractional calculus approach to self-similar protein dynamics. , 1995, Biophysical journal.

[21]  Rutherford Aris,et al.  Introduction to the Analysis of Chemical Reactors , 1965 .

[22]  Rahmat Ali Khan,et al.  Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations , 2010, Appl. Math. Lett..

[23]  Igor Podlubny,et al.  Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation , 2001, math/0110241.

[24]  Lishan Liu,et al.  Positive solutions for a fractional boundary value problem with changing sign nonlinearity , 2012 .

[25]  R. Agarwal,et al.  A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions , 2010 .

[26]  J. Webb,et al.  Positive solutions of nonlocal boundary value problems involving integral conditions , 2008 .