一类Caputo型分数阶微分包含的非局部问题

Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (1): 55-59.

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Nonlocal Problems of a Class of Caputo-Type Fractional Differential Inclusions

WU Rui¹, GAO Shanshan², CHENG Yⁱ³

1. Department of Mathematics, Changchun University of Finance and Economics, Changchun 130122, China;
2. Department of Information Engineering, Liaoning Institute of Science and Engineering, Jinzhou 121000, Liaoning Province, China;
3. College of Mathematical Sciences, Bohai University, Jinzhou 121000, Liaoning Province, China

Received:2020-05-27 Online:2021-01-26 Published:2021-01-26
Contact: 吴睿 E-mail:wurui0221@sina.com

Abstract

Abstract: We considered a nonlocal problems of a class of fractional differential inclusions with nonlinear growth conditions. Applying to the Leray-Schauder fixed point theorem, we first verified the existence and uniqueness of solutions for fractional nonlinear differential equations, and then proved the existence of solutions for a class of fractional differential inclusions by using set-valued fixed point theorem.

Key words: fractional calculus, differential inclusion, nonlocal problem, fixed point theorem

CLC Number:

O175.14

WU Rui, GAO Shanshan, CHENG Yi. Nonlocal Problems of a Class of Caputo-Type Fractional Differential Inclusions[J].Journal of Jilin University Science Edition, 2021, 59(1): 55-59.

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Nonlocal Problems of a Class of Caputo-Type Fractional Differential Inclusions

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