Qualitative Analysis of Multi-Terms Fractional Order Delay Differential Equations via the Topological Degree Theory
Sher Muhammad, Kamal Shah, Mičhal Fĕckan, Rahmat Ali Khan
Abstract
With the help of the topological degree theory in this manuscript, we develop qualitative theory for a class of multi-terms fractional order differential equations (FODEs) with proportional delay using the Caputo derivative. In the same line, we will also study various forms of Ulam stability results. To clarify our theocratical analysis, we provide three different pertinent examples.
Topics & Concepts
Degree (music)MathematicsClass (philosophy)Stability (learning theory)Topology (electrical circuits)Order (exchange)Differential equationApplied mathematicsFractional calculusDifferential (mechanical device)Mathematical analysisComputer sciencePhysicsAcousticsMachine learningCombinatoricsArtificial intelligenceFinanceEconomicsThermodynamicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations