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Abstract In this present paper, we are first of all interested in some continuity and compactness results for the space ψ-fractional 𝕊 𝒜 α, β ; ψ (Λ) S^{, ;₀ () }. In this sense, we investigate the existence of at least two solutions with constant signs using truncation arguments and comparison methods of a new class of fractional differential equations with m (ξ) m () -Laplacian with double phase.
Zuo et al. (Tue,) studied this question.