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On the Generalized (k,r)-Fractional Derivative |
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PP: 133-145 |
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doi:10.18576/pfda/040207
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Author(s) |
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Daniela S. Oliveira,
Edmundo Capelas de Oliveira,
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Abstract |
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| We generalize a fractional derivative type, the so-called (k,r)-fractional derivative and establish some properties of the
resulting generalized operator. As an application we show that with this new definition, the Cauchy problem is equivalent to a Volterra
integral equation of the second kind. We discuss, for this problem, some particular cases. |
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