Blow-up solutions of a time-fractional diffusion equation with variable exponents

J. Manimaran, L. Shangerganesh

In this paper, we investigate the blow-up of solutions of a time-fractional nonlocal reaction-diffusion equation with variable exponents under the Dirichlet boundary condition. We prove the existence of a solution using the Banach fixed point theorem. Finally, we estimate the blow-up of solutions of the considered model using the Kaplan method. 

Tbilisi Mathematical Journal, Vol. 12(4) (2019), pp. 149-157