Alha, SubhashAkgul, AliKhalid, Mohd2025-05-052025-05-05202523256192https://doi.org/10.5890/JEAM.2025.09.004https://hdl.handle.net/20.500.12604/8643In this paper, new hybrid fractional operators are introduced, which are generated by replacing classical derivatives with proportional derivatives. To be more precise, we combine regularised Hilfer-Prabhakar (RHP) and two-parameter Atangana-Baleanu (SABC) fractional derivatives with constant proportional derivatives. This paper provides an in-depth analysis of the implications and uses of these hybrid operators as they relate to differential equations with constant proportional derivatives.info:eu-repo/semantics/closedAccessFractional differential equationsHybrid fractional operatorsProportional derivativesArticle133Q32-s2.0-10500349797510.5890/JEAM.2025.09.004