JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (4): 76-84.doi: 10.6040/j.issn.1671-9352.0.2021.414

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Existence of mild solutions for a class of Riemann-Liouville fractional evolution inclusions

REN Qian, YANG He*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-03-29

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Abstract: By utilizing the multivalued fixed point theorem and the theory of operator semigroup, the existence of mild solutions for the nonlocal problem of a class of Riemann-Liouville fractional semilinear evolution inclusions with noncompact semigroups is investigated. An example is given to illustrate the application of abstract conclusions.

Key words: fractional evolution inclusion, existence, Hausdorff measure of noncompactness, equi-continuous semigroup

CLC Number: 

  • O175.15
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