In this paper, numerical solution of nonlinear fuzzy Hammerstein integral equations is studied by fuzzy B-spline series. An error bound for the method is found based on modulus of continuity and it is proved that the proposed algorithm is numerically stable. Finally, theoretical results are illustrated by some numerical examples.

We derive formulae for the calculation of Taylor coefficients of solutions to systems of Volterra integral equations, both linear and nonlinear, either without singularities or with singularities of Abel type and logarithmic type. We also obtain solutions to certain systems of Volterra equations of the first kind. In all cases except the case of logarithmic singularities, we obtain recursive fo...

It is well known that any classical Lotka–Volterra (LV) operator (associated with quadratic stochastic operator) defined on the simplex a homeomorphism. On other hand, more general LV systems have important applications in time evolution of conflicting species biology. natural to study bijectivity such kind operators. There an example which not injective. In this paper, we introduce class opera...