Teorema fundamental del cálculo para los operadores fraccionarios con longitud de memoria fija
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Date
2021
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Universidad Nacional de Trujillo
Abstract
En el presente trabajo se determinan condiciones para garantizar el cumplimiento del teorema fundamental del cálculo para los operadores fraccionarios con longitud de memoria fija. El procedimiento seguido para alcanzar el objetivo planteado fue utilizar las herramientas y técnicas del análisis real y cálculo fraccionario para investigar las propiedades que poseen los operadores fraccionarios con longitud de memoria fija. En consecuencia, se determinaron dos espacios funcionales para cuyos elementos se verifica el teorema fundamental del cálculo para los operadores fraccionarios con longitud de memoria fija
Abstract In the present work, conditions are determined to guarantee the fulfilment of the fundamental theorem of calculus for fractional operators with fixed memory length. The procedure followed to achieve the stated objective was to use the tools and techniques of real analysis and fractional calculus to investigate the properties possessed by fractional operators with fixed memory length. Consequently, two function spaces were determined for whose elements the fundamental theorem of calculus for fractional operators with fixed memory length is verified
Abstract In the present work, conditions are determined to guarantee the fulfilment of the fundamental theorem of calculus for fractional operators with fixed memory length. The procedure followed to achieve the stated objective was to use the tools and techniques of real analysis and fractional calculus to investigate the properties possessed by fractional operators with fixed memory length. Consequently, two function spaces were determined for whose elements the fundamental theorem of calculus for fractional operators with fixed memory length is verified
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Keywords
Cálculo fraccionario, Operadores fraccionarios, Teorema fundamental del cálculo