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Mathematical Biosciences and Engineering

2023, Volume 20, Issue 3: 4437-4454. doi: 10.3934/mbe.2023206
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Existence results of fractional differential equations with nonlocal double-integral boundary conditions

  • School of Mathematics and Statistics, Heze University, Heze 274000, China

  • Academic Editor: Feliz Minhós
  • Received: 24 October 2022 Revised: 15 December 2022 Accepted: 16 December 2022 Published: 26 December 2022

  • This article presents the existence outcomes concerning a family of singular nonlinear differential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. According to the nature of Caputo's fractional calculus, the problem is converted into an equivalent integral equation, while two standard fixed theorems are employed to prove its uniqueness and existence results. An example is presented at the end of this paper to illustrate our obtained results.

    Citation: Debao Yan. Existence results of fractional differential equations with nonlocal double-integral boundary conditions[J]. Mathematical Biosciences and Engineering, 2023, 20(3): 4437-4454. doi: 10.3934/mbe.2023206

    Related Papers:

  • This article presents the existence outcomes concerning a family of singular nonlinear differential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. According to the nature of Caputo's fractional calculus, the problem is converted into an equivalent integral equation, while two standard fixed theorems are employed to prove its uniqueness and existence results. An example is presented at the end of this paper to illustrate our obtained results.


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