A study on the dynamics of alkali–silica chemical reaction by using Caputo fractional derivative

In this paper, we propose a mathematical study to simulate the dynamics of alkali–silica reaction (ASR) by using Caputo fractional derivative. We solve non-linear fractional-order system containing six differential equations understand ASR. For proving existence unique solution, use some recent novel properties Mittag–Leffler function along with fixed point theory. The stability proposed is also proved Ulam–Hyers technique. deriving numerical well-known Adams–Bashforth–Moulton scheme its stability. Graphs are plotted given chemical practically. main reason Caputo-type model for solving ASR formulation through which mechanism can be efficiently explored. This paper clearly shows importance derivatives in reactions.