existence analysis of multi-point boundary value problems with riesz-caputo fractional derivatives

This paper explores the study of a specific category of nonlinear multi-point boundary value problems (bvps) associated with riesz-caputo fractional differential equations and integral boundary conditions. the primary objective is to establish the existence of solutions under specific assumptions. we use krasnoselskii’s fixed point theorem and leray-schauder’s nonlinear alternative to achieve this goal. furthermore, numerical examples are presented and plotted to demonstrate the effectiveness of the obtained results.