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

Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg and Yong Zhou

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 47-71

Abstract: 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.

Keywords: Functional differential equation; Pettis Riemann–Liouville integral of fractional order; Hadamard fractional derivative; Hilfer fractional derivative; Solution; Fixed point; Weak solution; Attractivity; Ulam stability; Measure of weak noncompactness (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:47-71

DOI: 10.1016/j.chaos.2017.03.010

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