| Citation: | J. Vanterler da C. Sousa. RESONANCE FOR P -LAPLACIAN AND ASYMMETRIC NONLINEARITIES[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 2359-2368. doi: 10.11948/20230384 | 
In the present paper, we aim to investigate the existence of solutions for the quasilinear boundary value problem involving fractional operators in the $ \psi $-fractional space $ \mathcal{H}^{\alpha}_{p}([0, T], \mathbb{R}) $ with asymmetric nonlinearities.
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