Introducing novel <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e26"><mml:mi>Θ</mml:mi></mml:math>-fractional operators: Advances in fractional calculus

Abstract

This study explores the foundational iterative processes of fractional calculus, focusing on Θ-conformable fractional derivatives (Θ-CFD). We introduce novel fractional operators and define their associated function spaces. Additionally, we establish a series of theorems that enhance our understanding of these operators within the context of fractional calculus.