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AIMS Mathematics

2020, Volume 5, Issue 6: 7510-7530. doi: 10.3934/math.2020481
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Research article

Periodic boundary value problem involving sequential fractional derivatives in Banach space

  • 1.
    Department of Mathematics, China University of Mining and Technology-Beijing, 100083, Ding No.11 Xueyuan Road, Haidian District, Beijing, China
  • 2.
    Department of Basic Courses, Beijing Union University, 100101, No.97 Beisihuan East Road, Chaoyang District, Beijing, China
  • Received: 10 July 2020 Accepted: 17 September 2020 Published: 23 September 2020

  • MSC : 26A33, 34B15

  • In this paper, by the method of upper and lower solutions coupled with the monotone iterative technique, we investigate the existence and uniqueness results of solutions for a periodic boundary value problem of nonlinear fractional differential equation involving conformable sequential fractional derivatives in Banach space. An example is given to illustrate our main result.

    Citation: Xinwei Su, Shuqin Zhang, Lixin Zhang. Periodic boundary value problem involving sequential fractional derivatives in Banach space[J]. AIMS Mathematics, 2020, 5(6): 7510-7530. doi: 10.3934/math.2020481

    Related Papers:

  • In this paper, by the method of upper and lower solutions coupled with the monotone iterative technique, we investigate the existence and uniqueness results of solutions for a periodic boundary value problem of nonlinear fractional differential equation involving conformable sequential fractional derivatives in Banach space. An example is given to illustrate our main result.


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