Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative
Kanika Dhawan, Ramesh Kumar Vats, Ravi P. Agarwal
Abstract
Abstract In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of continuous functions. For the defined problem, sufficient conditions have also been developed to determine the Ulam stability of the solution. The key conclusions are well-illustrated with examples.
Topics & Concepts
UniquenessMathematicsContraction mappingFractional calculusStability (learning theory)Applied mathematicsDifferential equationMathematical analysisDerivative (finance)Qualitative analysisSpace (punctuation)Fixed-point theoremComputer scienceQualitative researchMachine learningSociologyFinancial economicsEconomicsOperating systemSocial scienceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems