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A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
Journal article   Peer reviewed

A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability

Said Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg and Yong Zhou
Chaos, solitons and fractals, Vol.102, pp.47-71
01/09/2017
DOI: https://doi.org/10.1016/j.chaos.2017.03.010

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
In the present survey paper, we prove some results concerning the existence of solutions and weak solutions for some classes of Hadamard and Hilfer fractional differential equations. Some attractivity and Ulam stability results are presented. Our results are provided by applying the fixed point theory, and the technique of strong and weak measures of noncompactness. (C) 2017 Elsevier Ltd. All rights reserved.

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