期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
卷 13, 期 3, 页码 709-722出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2020039
关键词
Generalized fractional derivatives; generalized Caputo fractional derivative; generalized Laplace transform
资金
- Prince Sultan University [RG-DES-2017-01-17]
In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion.
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