Existence and uniqueness study for partial neutral functional fractional differential equation under Caputo derivative
Ndolane Sene, Ameth Ndiaye
2024An International Journal of Optimization and Control Theories & Applications (IJOCTA)12 citationsDOIOpen Access PDF
Abstract
The partial neutral functional fractional differential equation described by the fractional operator is considered in the present investigation. The used fractional operator is the Caputo derivative. In the present paper, the fractional resolvent operators have been defined and used to prove the existence of the unique solution of the fractional neutral differential equations. The fixed point theorem has been used in existence investigations. For an illustration of our results in this paper, an example has been provided as well.
Topics & Concepts
Fractional calculusMathematicsUniquenessPartial differential equationOperator (biology)ResolventFixed-point theoremMathematical analysisPartial derivativeDerivative (finance)First-order partial differential equationDifferential equationFunctional differential equationApplied mathematicsChemistryTranscription factorFinancial economicsRepressorBiochemistryGeneEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems