Conformable special curves in Euclidean 3-space
Aykut Has, Beyhan Yılmaz, Abdullah Akkurt, Hüseyin Yıldırım
Abstract
In this study, the effect of fractional derivatives on curves, whose application area is increasing day by day, is investigated. While investigating this effect, the conformable fractional derivative, which best suits the algebraic structure of differential geometry, is selected. As a result, many special curves and Frenet frame previously obtained using classical derivatives have been redefined with the help of conformable fractional derivatives.
Topics & Concepts
Conformable matrixMathematicsFrenet–Serret formulasDifferential geometryEuclidean geometryFractional calculusDifferential (mechanical device)Euclidean spaceFrame (networking)Space (punctuation)Pure mathematicsMathematical analysisGeometryCurvatureComputer scienceOperating systemEngineeringPhysicsTelecommunicationsQuantum mechanicsAerospace engineeringFractional Differential Equations SolutionsNonlinear Waves and SolitonsDifferential Equations and Numerical Methods