On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions

Abstract We investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to coupled integral boundary conditions. The nonsingular and singular cases are studied.

[1]  Johnny Henderson,et al.  Positive solutions for a system of fractional differential equations with coupled integral boundary conditions , 2014, Appl. Math. Comput..

[2]  R. Luca,et al.  Positive solutions to a system of semipositone fractional boundary value problems , 2014 .

[3]  Johnny Henderson,et al.  Existence and multiplicity of positive solutions for a system of fractional boundary value problems , 2014, Boundary Value Problems.

[4]  Johnny Henderson,et al.  Positive solutions for a system of nonlocal fractional boundary value problems , 2013 .

[5]  Lingju Kong,et al.  Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions , 2012 .

[6]  S. Das,et al.  Functional Fractional Calculus for System Identification and Controls , 2007 .

[7]  Youming Zhou,et al.  Positive solutions of three-point boundary value problems for systems of nonlinear second order ordinary differential equations☆ , 2006 .

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

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

[10]  H. Amann.  Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces , 1976 .

[11]  D. O’Regan,et al.  Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions , 2012 .

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