$On an extension of Hadamard fractional derivative$

On an extension of Hadamard fractional derivative

In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some results by addressing some standard functions.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2019-10, Vol.2019 (1), p.1-15, Article 263
Hauptverfasser:	Samraiz, Muhammad, Set, Erhan, Hasnain, Muhammad, Rahman, Gauhar
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Fractional calculus Hadamard fractional derivative Mathematics Mathematics and Statistics
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Beschreibung
Zusammenfassung:	In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some results by addressing some standard functions.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-019-2218-0