LAUSR

Nonlinear integral equations (particularly Hammerstein integral equations) and fractional differential equations have been the center of extensive research for various scientists because of their practical and physical significance. In this article, our focus is to find the sufficient conditions for the existence of solutions of some class of Hammerstein integral equations and fractional differential equations. For this purpose, we extend the notion of Kannan mappings in view of F -contraction in the setting of b -metric like spaces. Moreover, to address conceptual depth within this approach, we supply series of innovative and nontrivial examples to illustrate the established results along with computer simulation, thereby propounding the concept in a quite novel way. At the other end, some open problems are proposed for enthusiastic readers.