We study the uniqueness of entropy solution for a class of triply
nonlinear parabolic integro-differential equations of the form
∂t k ∗(j(v)−j(v0)) −∇· a(x, ∇ϕ(v)) + F (ϕ(v)) = f
in a bounded domain with homogeneous Dirichlet boundary conditions. The
source term f belongs to L1 and the memory term k ∗(j(v)−j(v0)) introduces
a nonlocal dependence. The functions j(v) and ϕ(v), assumed to be non-
decreasing, further contribute to the nonlinear nature of the problem. To prove
uniqueness, we apply the method of doubling variables leading to an energy
estimate that ensures the desired result.

Fractional time derivative; Nonlinear Volterra equation; triply non- linear; Entropy solution.