EXISTENCE AND STABILITY OF SOLUTIONS FOR HADAMARD TYPE FRACTIONAL DIFFERENTIAL SYSTEM ON BENZENE GRAPHS

This paper is mainly concerned with the existence of solutions for a class of Hadamard type fractional differential systems on benzene graphs, and the Hyers-Ulam stability of the systems is also proved. Furthermore, an example is presented on a formic acid graph to demonstrate the applicability of the conclusions obtained. The interesting of this paper lies in the integration of fractional differential equations with graph theory, utilizing the formic acid graph as a specific case for numerical simulation, and providing an approximate solution graph after iterations.