Yuhua Ma, Haibo Gu, Ning Li, Existence of mild solutions of fractional measure evolution inclusions, Vol. 2023 (2023), Article ID 5, pp. 1-15

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DOI: 10.23952/jnfa.2023.5

Received January 27, 2022; Accepted January 7, 2023; Published February 8, 2023

 

Abstract In this paper, we consider a class of new fractional measure evolution inclusion. By using fixed point theorems and noncompactness measure methods, we obtain some sufficient conditions to guarantee the existence of mild solutions and the compactness of solution sets in the space of regulated functions endowed with weak and strong topologies, respectively. Finally, an example is given to illustrate the feasibility of our results.

 

How to Cite this Article:
Y. Ma, H. Gu, N. Li, Existence of mild solutions of fractional measure evolution inclusions, J. Nonlinear Funct. Anal. 2023 (2023) 5.