Results on nonlocal controllability for impulsive fractional functional integro-differential equations via degree theory

Muthuselvan, Kanagaraj; Sundaravadivoo, Baskar; Nisar, Kottakkaran Sooppy; Munjam, Shankar Rao; Albalawi, Wedad; Abdel-Aty, Abdel-Haleem

doi:10.1016/j.rinp.2023.106698

Cited by 5 publications

(2 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An instantaneous impulse is a type of IDE in which the changes occur quite quickly compared to the overall duration of the procedure, while the non-instantaneous impulse begins instantly at a particular position and continues for a finite time. As referred to in the dissertations [1], [2], [11], [18], [19], [21], [22], [24] and [25]. This manuscript deals with non-instantaneous impulsive functions, which have the advantage of better results in real life application than instantaneous impulsive functions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Novel Exploration of Topological Degree Method for Non-Instantaneous Impulsive Fractional Integro-Differential Equation through Application of Filtering System

Muthuselvan,

Vadivoo,

MUNJAM

et al. 2023

Preprint

View full text Add to dashboard Cite

This paper explores the execution of the topological degree method (TDM) on initial conditions for a non-instantaneous impulsive fractional integro-di erential equation (NIFrIDE). The Laplace transform technique (LTT) is used to obtain the solution representation of the given system. The fundamental objective of this work is to acquire the existence and uniqueness results for a nite- dimensional case of a given dynamical system using the topological degree method and Gronwall's inequality, respectively. We examine two numerical computations for a given non-instantaneous impulsive fractional integro-di erential equation. In addition to discussing the application of a given problem through the ltering system.

show abstract

Section: Introductionmentioning

confidence: 99%

“…• These assumptions and applications have never been employed before in any research articles and it will be yield a more effective result than prior studies ( [9], [10], [13], [15], [18], [19], [23], and [24]).…”

Section: Introductionmentioning

confidence: 99%