On Caputo Modification of the Hadamard Fractional Derivatives
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Date
2014
Journal Title
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Publisher
Springeropen
Open Access Color
GOLD
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Abstract
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.
Description
Abdeljawad, Thabet/0000-0002-8889-3768; Gambo, Yusuf Ya'U/0000-0002-3954-3200; Jarad, Fahd/0000-0002-3303-0623
Keywords
Caputo-Hadamard Fractional Derivatives, Fundamental Theorem Of Fractional Calculus, Financial economics, Hadamard product, Fractional Differential Equations, Hadamard three-circle theorem, Economics, Generalization, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Orthogonal Polynomials, Differential equation, FOS: Mathematics, Hadamard three-lines theorem, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Algebra and Number Theory, Applied Mathematics, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, Caputo-Hadamard fractional derivatives, fundamental theorem of fractional calculus, Fractional derivatives and integrals
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
168
Source
Advances in Difference Equations
Volume
2014
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CrossRef : 78
Scopus : 226
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