Work

Analysis and Optimal Control of φ-Hilfer Fractional Semilinear Equations Involving Nonlocal Impulsive Conditions

Year: 2021

Type: article

Abstract: The goal of this paper is to consider a new class of φ-Hilfer fractional differential equations with impulses and nonlocal conditions. By using fractional calculus, semigroup theory, and with the help of the fixed point theorem, the existence and uniqueness of mild solutions are obtained for the proposed fractional system. Symmetrically, we discuss the existence of optimal controls for the φ-Hilfer fractional control system. Our main results are well supported by an illustrative example.

Source: Symmetry

DOI: 10.3390/sym13112084

Authors: Sarra Guechi, Rajesh Dhayal, Amar Debbouche, Muslim Malik

Institutions: University of Guelma, Thapar Institute of Engineering & Technology, Indian Institute of Technology Mandi

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,944

OpenAlex ID: W3211094552

FWCI: 3.15

Cites: 35

Cited by: 21

Related to: 10