Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system
Kottakkaran Sooppy Nisar, V. Vijayakumar
Abstract
In this manuscript, our primary focus on the approximate controllability outcomes for non‐densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay. By applying the findings and facts associated with fractional theory and the fixed‐point method, the principal discussions are demonstrated. First, we focus on the existence and then discuss the approximate controllability. At last, we provide an example for the demonstration of theory.
Topics & Concepts
ControllabilityMathematicsSobolev spaceFocus (optics)Type (biology)Fixed-point theoremMathematical analysisDifferential equationApplied mathematicsPhysicsBiologyEcologyOpticsNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsFractional Differential Equations Solutions