| Volume 15, Number 1, 2025, Pages - DOI：10.11948/JAAC-2023-0410 |
| Solvability of Hilfer fractional differential equations with integral boundary conditions at resonance in R^m |
| Huanmin Si,Weihua Jiang,Gongyu Li |
| Keywords:Hilfer fractional differential equation Mawhin’s coincidence degree theory resonance Rimman-stieltjes integral. |
| Abstract: |
| In this paper, the solvability of a class of resonant nonlinear Hilfer fractional differential equations boundary value problems is considered in R^m. The interesting point is that Hilfer is a more general differential operator that contains both the Riemann-Liouville and the Caputo derivative, and the dimension of the kernel of the fractional differential operator with Rimman-stieltjes integral boundary condition can take any value in {1,2,··· ,m}. By applying Mawhin’s coincidence degree theory, the existence result of solutions is obtained. |
PDF Download reader
|
|
|
|