Operational Method for Solving Fractional Differential Equations with the Left-and Right-Hand Sided Erdélyi-Kober Fractional Derivatives

In this paper, we first provide a survey of some basic properties of the left-and right-hand sided Erdélyi-Kober fractional integrals and derivatives and introduce their compositions in form of the composed Erdélyi-Kober operators. Then we derive a convolutional representation for the composed Erdél...

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Veröffentlicht in:Fractional calculus & applied analysis 2020-02, Vol.23 (1), p.103-125
Hauptverfasser: Hanna, Latif A. M., Al-Kandari, Maryam, Luchko, Yuri
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Sprache:eng
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