EXISTENCE RESULTS AND STABILITY CRITERIA FOR ABC-FUZZY-VOLTERRA INTEGRO-DIFFERENTIAL EQUATION
Hasib Khan, J. F. Gómez‐Aguilar, Thabet Abdeljawad, Aziz Khan
Abstract
In the modeling of dynamical problems the fractional order integro-differential equations (IDEs) are very common in science and engineering. The scientists are developing different aspects of these models. The existence of solutions, stability analysis and numerical simulations are the most commonly studied aspects. There is no paper in literature describing the Hyers–Ulam stability (HU-stability) for fuzzy-fractional order models. Therefore, keeping the importance of the study, we consider the existence, uniqueness and HU-stability of a fractional order fuzzy-Volterra IDE.
Topics & Concepts
UniquenessStability (learning theory)MathematicsFuzzy logicOrder (exchange)Applied mathematicsDifferential equationComputer scienceMathematical analysisArtificial intelligenceEconomicsMachine learningFinanceFractional Differential Equations SolutionsFuzzy Systems and OptimizationNonlinear Differential Equations Analysis