Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses

Author:

Salem Ahmed1ORCID,Alharbi Kholoud N.2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, College of Science and Arts in Uglat Asugour, Qassim University, Buraydah 52571, Saudi Arabia

Abstract

This study demonstrates the total control of a class of hybrid neutral fractional evolution equations with non-instantaneous impulses and non-local conditions. The boundary value problem with non-local conditions is created using the Caputo fractional derivative of order 1<α≤2. In order to create novel, strongly continuous associated operators, the infinitesimal generator of the sine and cosine families is examined. Additionally, two approaches are used to discuss the solution’s total controllability. A compact strategy based on the non-linear Leray–Schauder alternative theorem is one of them. In contrast, a measure of a non-compactness technique is implemented using the Sadovskii fixed point theorem with the Kuratowski measure of non-compactness. These conclusions are applied using simulation findings for the non-homogeneous fractional wave equation.

Funder

Deanship of Scientific Research (DSR) at King Abdulaziz University

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference45 articles.

1. Hilfer-Hadamard fractional differential equations: Existence and attractivity;Bachir;Adv. Theory Nonlinear Anal. Appl.,2021

2. Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations;Bedi;Adv. Differ. Equ.,2020

3. Existence results of solutions for ant-periodic fractional Langevin equation;Salem;J. Appl. Anal. Comput.,2020

4. Existence of mild solutions to Hilfer fractional evolution equations in Banach space;Sousa;Ann. Funct. Anal.,2021

5. Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions;Salem;Adv. Math. Phys.,2022

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