Abstract In this paper, we study the controllability of two problems involving same Chandrasekhar-type integral equation, but under different kinds controls. A viability condition is imposed as well. We provide existence results continuous trajectories coupled to Then, in non-viable case, investigate optimal estimates be taken view solutions for both problems. The last part paper deals with app...

In this article, we solve the second type of nonlinear Volterra picture fuzzy integral equation (NVPFIE) using an accelerated form Adomian decomposition method (ADM). Based on (α,δ,β)-cut, convert NVPFIE to equations in a crisp form. An version ADM is used transformed system, which based new formula for polynomial. The sufficient condition that guarantees unique solution obtained polynomial, er...