Nondensely defined evolution equations with nonlocal conditions

Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions

Impulsive Functional-differential Equations with Nonlocal Conditions

Complex Fuzzy Evolution Equation with Nonlocal Conditions

The objective of this paper is to study the existence and uniqueness of Mild solutions for a complex fuzzy evolution equation with nonlocal conditions that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definition of complex fuzzy strongly continuous semigroups. We then give existence and uniqueness result relevant to the complex fuzzy evo...

Existence Results for Semilinear Perturbed Functional Differential Equations with Nondensely Defined Operators

Nonlocal higher order evolution equations

In this paper we study the asymptotic behavior of solutions to the nonlocal operator ut(x, t) = (−1) n−1 (J ∗ Id − 1)n (u(x, t)), x ∈ R which is the nonlocal analogous to the higher order local evolution equation vt = (−1)(∆)v. We prove that solutions to both equations have the same asymptotic decay rate as t goes to infinity. Moreover, we prove that the solutions of the nonlocal problem conver...