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Open AccessArticle

Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative

School of Mathematical Science, Huaiyin Normal University, Huaian 223300, Jiangsu, China
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Mathematics 2019, 7(7), 630; https://doi.org/10.3390/math7070630
Received: 9 June 2019 / Revised: 7 July 2019 / Accepted: 12 July 2019 / Published: 15 July 2019
In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with ψ -Riesz-Caputo fractional derivative. A new definition of ψ -Riesz-Caputo fractional derivative of order α is proposed. By means of Contractive map theorem and nonlinear alternative for Kakutani maps, sufficient conditions for the existence of solutions to the fractional differential inclusions are given. We present two examples to illustrate our main results. View Full-Text
Keywords: fractional differential inclusions; ψ-Riesz-Caputo derivative; existence of solutions; fixed point theorem; anti-periodic boundary value problems fractional differential inclusions; ψ-Riesz-Caputo derivative; existence of solutions; fixed point theorem; anti-periodic boundary value problems
MDPI and ACS Style

Yang, D.; Bai, C. Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative. Mathematics 2019, 7, 630.

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