Reachability of fractional dynamical systems using <i>ψ</i>-Hilfer pseudo-fractional derivative
J. Vanterler da C. Sousa, M. Vellappandi, V. Govindaraj, Gastão S. F. Frederico
Abstract
In this paper, we investigate the reachability of linear and non-linear systems in the sense of the ψ-Hilfer pseudo-fractional derivative in g-calculus by means of the Mittag–Leffler functions (one and two parameters). In this sense, two numerical examples are discussed in order to elucidate the investigated results.
Topics & Concepts
Fractional calculusReachabilityMathematicsDerivative (finance)Sense (electronics)Applied mathematicsOrder (exchange)Dynamical systems theoryPure mathematicsCalculus (dental)Mathematical analysisAlgorithmPhysicsFinanceEconomicsFinancial economicsDentistryEngineeringQuantum mechanicsElectrical engineeringMedicineFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsAdvanced Optimization Algorithms Research