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
evolution equation.

Authors:

• Abdelati El Allaoui
• Said Melliani
• Lalla Saadia Chadli

Keywords:

• Complex fuzzy evolution equations
• nonlocal conditions
• mild solution
• complex fuzzy semigroups.

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