Special Session 67: Fractional Differential Equations: Theory, Methods and Applications

Applications of FDE to Real-World Problems

Ricardo Almeida
University of Aveiro
Portugal
Co-Author(s):    
Abstract:
This talk is devoted to the study of nonlinear fractional differential equations involving Caputo-type fractional derivatives with respect to another function. We establish existence and uniqueness results for these equations using some standard fixed point theorems. Furthermore, we present several applications of these results, specifically in optimal control theory, population growth models, and epidemiological models.