Nonlinear functional differential equations of arbitrary orders
Nonlinear Analysis: Theory, Methods & Applications
Nonlocal boundary vector value problems for ordinary differential systems of higher order
Nonlinear Analysis: Theory, Methods & Applications
Multiple solutions for fractional differential equations with nonlinear boundary conditions
Computers & Mathematics with Applications
On the solvability of a fractional differential equation model involving the p-Laplacian operator
Computers & Mathematics with Applications
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In this paper, we study multiple nonnegative solutions for the fractional differential equation with integral boundary conditions {^CD^@ax(t)+f(t,x(t))=0,t@?(0,1),x(0)=@!"0^1g"0(s)x(s)ds,x(1)=@!"0^1g"1(s)x(s)ds,x^(^k^)(0)=@!"0^1g"k(s)x(s)ds,k=2,3,...,[@a]. By means of Leggett-Williams fixed point theorem, some new results on the existence of at least three nonnegative solutions are obtained.