Abstract
<abstract><p>In the framework of Caputo-Fabrizio derivatives, we study a new coupled system of fractional differential equations of higher orders supplemented with coupled nonlocal boundary conditions. The existence and uniqueness results of the solutions are proved. We consider the classical fixed-point theories due to Banach and Krasnoselskii for the main results. An example illustrating the main results is introduced.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference49 articles.
1. J. Klafter, S. Lim, R. Metzler, Fractional dynamics: Recent advances, World Scientific, 2011. https://doi.org/10.1142/8087
2. I. Podlubny, Fractional differential equations, Academic Press, 1999.
3. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations, 204. Elsevier, 2006. https://dx.doi.org/10.1016/S0304-0208(06)80001-0
4. D. Valério, M. D. Ortigueira, A. M. Lopes, How many fractional derivatives are there, Mathematics, 10 (2022), 737. https://doi.org/10.3390/math10050737
5. F. Mainardi, Fractional calculus and waves in linear viscoelasticity: An introduction to mathematical models, World Scientific, 2010.
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