Browsing Matematik Bölümü by Subject "Caputo Fractional Operator"

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Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

Baleanu, Dumitru (Springer International Publishing, 2016-06-23)

In this work, we present an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential equations (FPDEs) ...
On a new modification of the erdélyi–kober fractional derivative

Odibat, Zaid; Baleanu, Dumitru (2021-09)

In this paper, we introduce a new Caputo-type modification of the Erdélyi–Kober fractional derivative. We pay attention to how to formulate representations of Erdélyi–Kober fractional integral and derivatives operators. ...

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