Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
Humaira Humaira, Hasanen A. Hammad, Muhammad Sarwar, Manuel De la Sen
Abstract
Abstract In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metric space is presented. Ultimately, some appropriate examples are constructed to illustrate our theoretical results.
Topics & Concepts
MathematicsMetric spaceFixed-point theoremOrdinary differential equationMetric (unit)Fuzzy logicMathematical analysisPartial differential equationPicard–Lindelöf theoremDifferential equationPure mathematicsApplied mathematicsComputer scienceOperations managementArtificial intelligenceEconomicsFixed Point Theorems Analysis