Introducing novel Θ-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.

Keywords

• θ-CFD
• θ-conformable fractional integrals (θ-CFI)