Positive solutions for singular Hadamard fractional differential system with four-point coupled boundary conditions
Copyright policy )Positive solutions for singular Hadamard fractional differential system with four-point coupled boundary conditions
The author studies a four-point coupled boundary value problem of a nonlinear semipositone Hadamard fractional differential system of equations. The existence of at least one positive solution is proved by means of the Guo-Krasnoselskii's fixed point theorem, and there is obtained a \(\lambda\)-interval such that the singular boundary value problem has at least one positive solution. Finally, some examples are presented.
Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, positive solution, Green's functions for ordinary differential equations, Hadamard fractional differential equations, Fractional ordinary differential equations, Positive solutions to nonlinear boundary value problems for ordinary differential equations, Green's function, Nonlocal and multipoint boundary value problems for ordinary differential equations, four-point coupled boundary conditions, fixed point theorems
Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, positive solution, Green's functions for ordinary differential equations, Hadamard fractional differential equations, Fractional ordinary differential equations, Positive solutions to nonlinear boundary value problems for ordinary differential equations, Green's function, Nonlocal and multipoint boundary value problems for ordinary differential equations, four-point coupled boundary conditions, fixed point theorems
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