Ahmad, Abdulaziz GarbaJarad, FahdAlsaadi, AteqRashid, Saima02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-01-122025-09-182024-01-122025-09-182022Rashid, Saima;...et.al. (2023). "Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative", AIMS Mathematics, Vol.8, No.1, pp.382-403.2473-6988https://doi.org/10.3934/math.2023018https://hdl.handle.net/20.500.12416/15103Alsaadi, Ateq/0000-0002-4545-0246; Ahmad, Abdulaziz Garba/0000-0002-2999-7751This article adopts a class of nonlinear fractional differential equation associating Hilfer generalized proportional fractional (GPF) derivative with having boundary conditions, which amalgamates the Riemann-Liouville (RL) and Caputo-GPF derivative. Taking into consideration the weighted space continuous mappings, we first derive a corresponding integral for the specified boundary value problem. Also, we investigate the existence consequences for a certain problem with a new unified formulation considering the minimal suppositions on nonlinear mapping. Detailed developments hold in the analysis and are dependent on diverse tools involving Schauder's, Schaefer's and Kransnoselskii's fixed point theorems. Finally, we deliver two examples to check the efficiency of the proposed scheme.eninfo:eu-repo/semantics/openAccessExistence Of SolutionHilfer Proportional Fractional DerivativeBoundary Value ProblemFixed Point TheoryArticle10.3934/math.20230182-s2.0-85139171290