Abstract:The main goal of this study is to find the solution of initial boundary value problem for the one-dimensional time and spacefractional diffusion equation which is a very intriguing topic for many researchers. With the aim of newly defined inner product, which is the main contribution of this study, the analytic solution of the boundary value problem is obtained. The time and spacefractional derivatives are defined in the Caputo sense which is more suitable than Riemann-Liouville sense. We apply the separation … Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.