Anabela S. Silva, "On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions," WSEAS Transactions on Mathematics, vol. 22, pp. 279-284, 2023, DOI:10.37394/23206.2023.22.33
Anabela S. Silva. On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions.
WSEAS Transactions on Mathematics. 2023;22:279-284. 10.37394/23206.2023.22.33
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions
Author:
Abstract: In this article, we consider a class of fractional boundary value problems with Caputo fractional derivative
of order $$α \in (2, 3)$$. The existence and uniqueness of solutions are discussed and the Adomian decomposition
method is proposed to obtain an approximation of the solution. Finally, an example is given to demonstrate the
validity of results.
Keywords:
Banach contraction principle, Adomian decomposition method, Fractional differential equations, Caputo derivative
Pages: 279-284 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #33 DOI: 10.37394/23206.2023.22.33
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