Caputo-Type Modification of the Hadamard Fractional Derivatives
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Abstract
Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The properties of the modified derivatives are studied.
Description
Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623
Keywords
Hadamard Fractional Derivatives, Caputo, Economics, Generalization, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Orthogonal Polynomials, Differential equation, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Order (exchange), Algebra and Number Theory, Ecology, Applied Mathematics, Physics, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Fractional Derivatives, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Thermodynamics, Fractional Calculus, Differential (mechanical device), Type (biology), Analysis, Mathematics, Ordinary differential equation, Finance, Hadamard fractional derivatives, Fractional derivatives and integrals, Caputo
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Jarad, F., Abdeljawad, T., Baleanu,D. (2012). Caputo-type modification of the Hadamard fractional derivatives. Advance in Difference Equations, 142, 1-8. http://dx.doi.org/10.1186/1687-1847-2012-142
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296
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2012
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CrossRef : 114
Scopus : 437
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