On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique
Ahmed Refice, Mohammed Said Souıd, Ivanka Stamova
Abstract
In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of the observed results.
Topics & Concepts
Hadamard transformMathematicsBoundary value problemOrder (exchange)Mathematical analysisVariable (mathematics)Fixed-point theoremValue (mathematics)Differential equationMeasure (data warehouse)Applied mathematicsComputer scienceStatisticsData miningEconomicsFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations