Optimal control results for Sobolev‐type fractional mixed Volterra–Fredholm type integrodifferential equations of order 1 < <i>r</i> < 2 with sectorial operators
Marimuthu Mohan Raja, V. Vijayakumar
Abstract
Abstract The goal of this research is to investigate the issue of existence and optimal control results for fractional mixed Volterra–Fredholm type integrodifferential systems of order with sectorial operators. Initially, we use fractional derivatives, semigroup theory, mild solutions, Sobolev‐type, and Schauder's fixed point theorem to examine the existence of results. Then, we will move on to the systems with optimal control results. Finally, we show a theoretical application to establish the validity of the findings.
Topics & Concepts
MathematicsType (biology)Sobolev spaceOrder (exchange)SemigroupFixed-point theoremFractional calculusPure mathematicsApplied mathematicsMathematical analysisFinanceBiologyEconomicsEcologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods