Work

Mild solutions for conformable fractional order functional evolution equations via Meir-Keeler type fixed point theorem

Year: 2025

Type: article

Abstract: In this study, we delve into the realm of mild solutions for conformable fractional order functional evolution equations, focusing on cases where the fractional order is strictly greater than 1 and less than 2 within a separable Banach space. We demonstrate the existence, uniqueness, attractivity, and controllability of these solutions under local conditions. Our approach involves leveraging a contribution of Meir-Keeler?s fixed point theorem alongside the principle of measures of noncompactness. To demonstrate the practical ramifications of our theoretical finds, we provide a specific example that underscores the relevance and applications of the established results.

Source: Filomat

DOI: 10.2298/fil2506989b

Authors: Fatma Berrighi, Medjadj Imene, Erdal Karapınar

Institutions: Université des Sciences et de la Technologie d'Oran Mohamed Boudiaf, Université Oran 1 Ahmed Ben Bella, China Medical University, China Medical University Hospital, Atilim University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413247960

FWCI: 9.618

Cites: 44

Cited by: 5

Related to: 10