On the solvability of a fractional differential equation model involving the \(p\)-Laplacian operator. (English) Zbl 1268.34020
Summary: We study the solvability of a Caputo fractional differential equation model involving the \(p\)-Laplacian operator with boundary value conditions. By using the Banach contraction mapping principle, some new results on the existence and uniqueness of a solution for the model are obtained. It is interesting to note that the sufficient conditions for the solvability of the model depend on the parameters \(p\) and \(\alpha \). Furthermore, we give some examples to illustrate our results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A34 | Nonlinear ordinary differential equations and systems |
Keywords:
\(p\)-Laplacian operator; Caputo fractional derivative; boundary value problem; existence and uniqueness; Banach contraction mapping principleReferences:
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