We study the existence of mild solutions to subdiffusion equations with memory
with the initial condition , where , is a closed linear operator defined on a Banach space , the initial value belongs to and is a suitable kernel in . First, we find a subordination formula for the solution operator of and then we study its connection with the existence of mild solution to the first order diffusion equation with memory.
"A subordination principle for subdiffusion equations with memory." J. Integral Equations Applications 32 (4) 479 - 493, Winter 2020. https://doi.org/10.1216/jie.2020.32.479