| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0389 |
| Solvability for a higher-order Hadamard fractional differential model with a sign-changing nonlinearity dependent on the parameter $\varrho$ |
| Limin Guo |
| Keywords:Semipositive problem Hadamard fractional differential equation Positive solution Parameter |
| Abstract: |
| Until now most of the results are obtained in the sense of fractional derivatives such as Caputo and Riemann-Liouville, and there are few models using the Hadamard fractional derivatives. In this paper, based on the properties of the Green"s function, the existence of positive solutions are obtained for a Hadamard fractional differential equation with a higher-order sign-changing nonlinearity under some conditions by the fixed point theorem, and the existence of positive solutions is dependent on the parameter $\varrho$ for the Semipositive problem. |
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