Peer-Reviewed Article August 9, 2012
Caputo-type modification of the Hadamard fractional derivatives
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Published in: Advances in Difference Equations
Publisher: Springer Nature • Egypt • 1687-1839
Abstract
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.