Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness

By K. Kavitha, V. Vijayakumar, R. Udhayakumar. 2020

90 citations recorded by the source corpus.

Abstract This manuscript highlights the controllability of Hilfer fractional neutral differential systems with infinite delay. A vivid study on the primary outcomes is carried out by applying fractional calculus, and for the main results, we use fixed point technique to the measures of noncompactness. The results, thus acquired, are extend to the concept of nonlocal conditions. Lastly, a model is presented for the illustration of theory.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/5fc2869059dbd5dc77097ebc61e6e85ab5ce4b19

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Control and Systems Engineering

In Modeling and Simulation

Citations in the corpus

Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness (2021, background): “Discussion about theory and applications related to controllability, the readers verify the previous research articles [10,11,14,15,19,22-26].”
New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2 (2021, background): “A broad list of these distributions can be discovered in [6, 9, 11–16, 18–24, 43, 44–50].”
Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2 (2020, background): “The studies about existence and controllability related to fractional evolution system of order 1 𝛼 2 attracted several authors [8, 31–42].”