6533b838fe1ef96bd12a52eb

RESEARCH PRODUCT

ON THE FUNDAMENTAL THEOREM OF CALCULUS FOR FRACTAL SETS

Donatella BongiornoGiuseppa Corrao

subject

Differentiation under the integral signReal analysisFundamental theoremApplied Mathematicss-SetMathematics::Classical Analysis and ODEss-HK IntegralDifferential calculusTime-scale calculusIntegration by substitutionAlgebraSettore MAT/05 - Analisi MatematicaModeling and SimulationFundamental theorem of calculusFunctions Hs-ACGδ.CalculusGeometry and TopologyGradient theoremMathematics

description

The aim of this paper is to formulate the best version of the Fundamental theorem of Calculus for real functions on a fractal subset of the real line. In order to do that an integral of Henstock–Kurzweil type is introduced.

https://doi.org/10.1142/s0218348x15500085