On Caputo modification of the Hadamard fractional derivatives

Yusuf Y. Gambo; Fahd Jarad; Dumitru Baleanu; Thabet Abdeljawad

doi:10.1186/1687-1847-2014-10

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$On Caputo modification of the Hadamard fractional derivatives$

Journal article

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On Caputo modification of the Hadamard fractional derivatives

Yusuf Y. Gambo, Fahd Jarad, Dumitru Baleanu and Thabet Abdeljawad

Advances in difference equations, Vol.2014(1), pp.10-12

07/01/2014

DOI: https://doi.org/10.1186/1687-1847-2014-10

Abstract

Analysis

Difference and Functional Equations

Functional Analysis

general

Mathematics

Mathematics and Statistics

Ordinary Differential Equations

Partial Differential Equations

This paper is devoted to the study of Caputo modification of the Hadamard fractional derivatives. From here and after, by Caputo-Hadamard derivative, we refer to this modified fractional derivative (Jarad et al. in Adv. Differ. Equ. 2012:142, 2012, p.7). We present the generalization of the fundamental theorem of fractional calculus (FTFC) in the Caputo-Hadamard setting. Also, several new related results are presented.

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Title: On Caputo modification of the Hadamard fractional derivatives
Creators - without role: Yusuf Y. Gambo - Maitama Sule University Kano
Fahd Jarad - University of Turkish Aeronautical Association
Dumitru Baleanu - King Abdulaziz University
Thabet Abdeljawad - Prince Sultan University
Publication Details: Advances in difference equations, Vol.2014(1), pp.10-12
Publisher: Springer International Publishing
Identifiers: 9927282608331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Journal article