Espacios de Sobolev fraccionarios vía derivada de Riemann - Liouvill
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Date
2024
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Universidad Nacional de Trujillo
Abstract
En este trabajo se definió, a partir de las derivadas débiles fraccionarias de Riemann-Liouville, el espacio de Sobolev fraccionario, consistiendo de aquellas funciones de Lp (a, b) cuyas derivadas débiles también pertenecen a Lp(a, b). Además se demostró que dicho espacio es completo, reflexivo y separable
Abstract In this work, the fractional Sobolev space was defined from the weak fractional derivati ves of Riemann-Liouville, consisting of those functions of Lp (a, b) whose weak derivatives also belong to Lp (a, b). Furthermore, it was demonstrated that said space is complete,reflective and separable
Abstract In this work, the fractional Sobolev space was defined from the weak fractional derivati ves of Riemann-Liouville, consisting of those functions of Lp (a, b) whose weak derivatives also belong to Lp (a, b). Furthermore, it was demonstrated that said space is complete,reflective and separable
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Derivada fraccionaria, derivadas débiles, funciones Lp