Some properties of (k, ψ)-Hadamard fractional integral
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https://doi.org/10.17398/Palabras clave:
(k, ψ)–Hadamard fractional integrals, weighted Lebesgue space, fractional integration by partsResumen
In this paper, we study the boundedness properties of the (k, ψ)-Hadamard fractional integral in various functional spaces, including C[a, b], C1 [a, b], and the weighted Lebesgue spaces Lpω (a, b). In addition, we establish several fundamental analytical results associated with this operator, such as a Mean Value Theorem and an Integration by Parts Theorem. These findings enhance the theoretical understanding of (k, ψ)-Hadamard type operators and provide a rigorous foundation for their application in the study of differential and integral equations exhibiting nonlocal behavior and variable-scaling effects.
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