We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh’s type. We reformulate these equations giving a better description in terms of continuous operators on $L^p$ spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series ${\sum }_{n=0}^{\infty }{c}_n{J}_{\mu +2n+1}$ which converges in the $L^p$-norm and almost everywhere, where $J_{\nu }$ denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution....