Abstract
<abstract><p>In this paper, we mainly take into account a nonlinear fractional coupled Laplacian equations with nonsingular exponential kernel. After discussing the Laplacian parameters in four cases, some new and easily verifiable sufficient criteria of solvability are obtained. We further prove that this system is generalized Ulam-Hyers (GUH) stable. Finally, an example is applied to explain the availability of our major results.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference48 articles.
1. M. Caputo, M. Fabrizio, A new definition of fractional derivative without singular kernel, Progress in Fractional Differentiation Applications, 1 (2015), 73–85.
2. A. Atangana, D. Baleanu, Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer, J. Eng. Mech., 143 (2017), 5. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001091
3. M. Alquran, K. Al-Khaled, T. Sardar, J. Chattopadhyay, Revisited Fisher's equation in a new outlook: a fractional derivative approach, Physica A, 438 (2015), 81–93. https://doi.org/10.1016/j.physa.2015.06.036
4. A. Atangana, B. S. T. Alkahtani, Analysis of the Keller-Segel model with a fractional derivative without singular kernel, Entropy, 17 (2015), 4439–4453. https://doi.org/10.3390/e17064439
5. A. Atangana, B. S. T. Alkahtani, Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel, Adv. Mech. Eng., 7 (2015), 1–6. https://doi.org/10.1177/1687814015591937
Cited by
18 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