On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative
Ali El Mfadel, Saïd Melliani, M’hamed Elomari
Abstract
In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results.
Topics & Concepts
UniquenessMathematicsFractional calculusContraction principleFuzzy logicApplied mathematicsDerivative (finance)Banach spaceContraction (grammar)Fréchet derivativeMathematical analysisPure mathematicsComputer scienceArtificial intelligenceMedicineFinancial economicsEconomicsInternal medicineFuzzy Systems and OptimizationNonlinear Differential Equations AnalysisFractional Differential Equations Solutions