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Caputo-type modification of the Hadamard fractional derivatives

Fahd JaradDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, Ankara, 06530, TurkeyThabet AbdeljawadDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, Ankara, 06530, TurkeyDumitru BǎleanuDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, Ankara, 06530, Turkey
2012en
ABI

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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.

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