New results on approximate controllability of fractional delay integrodifferential systems of order 1 < r < 2 with Sobolev-type
Yong‐Ki Ma, Marimuthu Mohan Raja, Anurag Shukla, V. Vijayakumar, Kottakkaran Sooppy Nisar, K. Thilagavathi
Abstract
In this manuscript, we look at fractional evolution integrodifferential systems with infinite delay of order r∈(1,2) with control problems. To begin, we establish the mild solution for the given system. Further, we look at the approximate controllability outcomes utilizing multivalued functions, Sobolev-type, nonlocal circumstances, fractional analysis, fixed point technique, and cosine families. Finally, an application for generating the primary outcome theory has been created.
Topics & Concepts
ControllabilitySobolev spaceMathematicsOrder (exchange)Type (biology)Applied mathematicsFractional calculusControl theory (sociology)Point (geometry)Trigonometric functionsMathematical analysisPure mathematicsControl (management)Computer scienceFinanceGeometryEcologyArtificial intelligenceEconomicsBiologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations