3 results
Search Results
Now showing 1 - 3 of 3
Article Mild Solutions for Neutral Conformable Fractional Order Functional Evolution Equations Using Meir-Keeler Type Fixed Point Theorem(University Politehnica Bucharest, Sci Bull, 2025) Berrighi, Fatma; Medjadj, Imene; Karapinar, ErdalOur mission is to demonstrate the existence, uniqueness, attractiveness, and controllability of mild solutions to neutral conformable fractional-order functional evolution equations, specifically of order between 1 and 2. These intriguing equations encompass finite delay, all while adhering to local conditions within a separable Banach space. By invoking Meir-Keeler's fixed-point Theorem and enhancing it with measures of noncompactness, we establish the existence of these solutions. To highlight the potency of our approach, we present a captivating example.Article On Nonlocal Boundary Caputo Tempered Fractional Coupled Systems in Banach Spaces(SpringerNature, 2026) Kadari, Halima; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, ErdalWe employ M & ouml;nch's fixed point theorem along with the technique of measure of non-compactness to establish the existence of solutions for a coupled system of tempered fractional differential equations with nonlocal boundary conditions. Additionally, we investigate the Ulam stability of the system as a qualitative aspect of our analysis. Finally, an illustrative example is provided to demonstrate that our approach meets the specific requirements set forth in the paper.Article Mild Solutions for Neutral Conformable Fractional Order Functional Evolution Equations Using Meir-Keeler Type Fixed Point Theorem(Politechnica University of Bucharest, 2025) Berrighi, F.; Medjadj, I.; Karapınar, E.Our mission is to demonstrate the existence, uniqueness, attractiveness, and controllability of mild solutions to neutral conformable fractional-order functional evolution equations, specifically of order between 1 and 2. These intriguing equations encompass finite delay, all while adhering to local conditions within a separable Banach space. By invoking Meir-Keeler’s fixed-point Theorem and enhancing it with measures of noncompactness, we establish the existence of these solutions. To highlight the potency of our approach, we present a captivating example. © 2025, Politechnica University of Bucharest. All rights reserved.
