Existence and uniqueness results for a semilinear fuzzy fractional elliptic equation
Ghazouani El, A. Talhaoui, M’hamed Elomari, Saïd Melliani
Abstract
The purpose of this study is to look at a family of starting value problem for semilinear fuzzy fractional elliptic equation with fractional Caputo derivatives. Firstly, we are going to extend the definition of laplacian operator under generalized H-differentiability in the Fuzzy systems. Secondly, the fuzzy integral equation are founded. Then, the existence and uniqueness of a fuzzy solution are etablished utilizing the Banach fixed point assessment method under Lipschitz conditions. Finally, we conclude our work by a conclusion.
Topics & Concepts
MathematicsUniquenessElliptic curveFuzzy logicPure mathematicsApplied mathematicsMathematical analysisPhilosophyLinguisticsFuzzy Systems and OptimizationNonlinear Differential Equations AnalysisFractional Differential Equations Solutions