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A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Kottakkaran Sooppy Nisar, C. Anusha, C. Ravichandran

2023AIMS Mathematics15 citationsDOIOpen Access PDF

Abstract

<abstract><p>The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla ($ \nabla $) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.</p></abstract>

Topics & Concepts

Nabla symbolUniquenessMathematicsNonlinear systemStability (learning theory)GraphFractional calculusDerivative (finance)Applied mathematicsMathematical analysisMATLABDynamic equationPhysicsDiscrete mathematicsComputer scienceOmegaMachine learningEconomicsOperating systemQuantum mechanicsFinancial economicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods
A non-linear fractional neutral dynamic equations: existence and stability results on time scales | Litcius