Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay
K. Kavitha, V. Vijayakumar
Abstract
Abstract The optimal control solutions for Hilfer fractional neutral integrodifferential evolution equations with infinite delay in Banach space are investigated in this study. To begin, we use fractional computations, Holder inequality, and Banach fixed point approaches to examine conclusions for fractional integrodifferential evolution equations. Following that, we created the fractional integrodifferential evolution system's continuous dependency. We also looked at optimal controls for the Lagrange problem. Finally, an application is given to extract the primary theory.
Topics & Concepts
Banach spaceMathematicsFractional calculusComputationEvolution equationFixed pointApplied mathematicsOptimal controlMathematical analysisMathematical optimizationAlgorithmNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems