Ahmadkhanlu, AsgharErturk, Vedat SuatKumar, Pushpendra2026-03-152026-03-1520261450-962810.46793/KgJMat2604.613Ahttps://doi.org/10.46793/KgJMat2604.613Ahttps://hdl.handle.net/20.500.14517/8897This work investigates a fractional boundary value problem in the sense of Riemann-Liouville derivative and integral. We derive some novel results for the necessary and sufficient conditions for the existence and uniqueness of the positive solution. In this regard, some fixed-point theorems on cones are used. Also, a convergent successive sequence to find the solution to the problem is introduced. We derive the numerical scheme for the proposed problems. The correctness of the proposed results is verified with some illustrative examples.eninfo:eu-repo/semantics/closedAccessFractional Boundary Value ProblemRiemann-Liouville Derivative and IntegralGreen's FunctionFixed Point TheoremArticle