No abstract

No abstract

In this paper, the solvability of Darboux problems for nonlinear fractional partial integro-differential equations with uncertainty under Caputo gH-fractional differentiability is studied in the infinity domain J ∞ = [0, ∞) × [0, ∞). New concepts of Hyers-Ulam stability and Hyers-Ulam-Rassias stability for these problems are also investigated through the equivalent integral forms. A computational example is presented to demonstrate our main results.

In this paper, we consider the boundary valued problems for fuzzy partial hyperbolic functional differential equations with local and integral boundary conditions. A new weighted metric is used to investigate the existence and uniqueness of fuzzy solutions for these problems in a complete fuzzy metric space. Our results are demonstrated in some numerical examples in which we use the same strategy as BuckleyFeuring to build fuzzy solutions from fuzzifying the deterministic solutions. Then by using the continuity of the Zadeh's extension principle combining with numerical simulations for α−cuts of fuzzy solutions, we give some representations of the surfaces of fuzzy solutions.

No abstract