On the Existence and Uniqueness of Fuzzy Mild Solution of Fractional Evolution Equations
Aziz El Ghazouani, Fouad Ibrahim Abdou Amir, M’hamed Elomari, Saïd Melliani
Abstract
In this paper, the nonlocal Cauchy problem is discussed for the fuzzy fractional evolution equations in an arbitrary Banach space for order q ∈ (1, 2) and the criteria on the existence and uniqueness of mild fuzzy solutions are obtained by using Schauder’s fixed point theorem. An example to illustrate the applications of main results is also given.
Topics & Concepts
MathematicsUniquenessBanach spaceFuzzy logicOrder (exchange)Picard–Lindelöf theoremFixed-point theoremCauchy distributionInitial value problemApplied mathematicsSpace (punctuation)Pure mathematicsMathematical analysisComputer scienceFinanceEconomicsOperating systemArtificial intelligenceFuzzy Systems and OptimizationNonlinear Differential Equations AnalysisFractional Differential Equations Solutions