Author:
Makhlouf Abdellatif Ben,El-hady El-sayed,Arfaoui Hassen,Boulaaras Salah,Mchiri Lassaad
Abstract
AbstractIn this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two illustrative examples are presented to show the validity of our results.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference32 articles.
1. Rezapour, S., Mohammadi, H.: A study on the AH1N1/09 influenza transmission model with the fractional Caputo–Fabrizio derivative. Adv. Differ. Equ. 2020(1), 1 (2020)
2. Tuan, N.H., Mohammadi, H., Rezapour, S.: A mathematical model for Covid-19 transmission by using the Caputo fractional derivative. Chaos Solitons Fractals 140, 110107 (2020)
3. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)
4. Baleanu, D., Mohammadi, H., Rezapour, S.: Analysis of the model of HIV-1 infection of $CD4+CD^{4}$ T-cell with a new approach of fractional derivative. Adv. Differ. Equ. 2020, Article ID 71 (2020)
5. Bohner, M., Tunç, O., Tunç, C.: Qualitative analysis of Caputo fractional integro-differential equations with constant delays. Comput. Appl. Math. 40, 214 (2021)
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献