Othmane, Iman benAbdeljawad, ThabetJarad, Fahd2025-08-052025-08-0520250218-348X1793-6543https://doi.org/10.1142/S0218348X25401152https://hdl.handle.net/20.500.12416/10294Abdeljawad, Thabet/0000-0002-8889-3768;In this paper, some new forms of fractional operators are proposed. These new forms are developed by using the proportional and the weighted derivative of a function regarding a function, known as weighted fractional proportional operators regarding another function. Additionally, the partial derivative-Hilfer version of the weighted proportional fractional derivatives, which is a concept that unifies the Riemann-Liouville and Caputo weighted proportional fractional derivatives, is propounded. Moreover, a number of fundamental properties of these operators and related important results are investigated. The Laplace transforms of the newly defined operators are found. Finally, we solve a particular type of differential equations involving the introduced derivatives in favor of the weighted Laplace transform.eninfo:eu-repo/semantics/closedAccessMittag-Leffler FunctionHybrid Fractional Differential InequalitiesComparison ResultsArticle10.1142/S0218348X254011522-s2.0-105009638293