JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (9): 91-100.doi: 10.6040/j.issn.1671-9352.0.2021.501

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Existence and uniqueness of solutions for fractional Langevin type equations with dual anti-periodic boundary conditions involving p-Laplace operator

ZHANG Ji-feng, ZHANG Wei*, WEI Hui, NI Jin-bo   

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China
  • Published:2022-09-15

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Abstract: A new class of fractional Langevin type equations with anti-periodic boundary conditions is studied. The equations involve p-Laplace operator and the boundary conditions are constituted by two pairs of anti-periodic boundary conditions(dual anti-periodic boundary conditions). The criteria for the existence and uniqueness of solutions are presented by applying the Krasnoselskiis fixed point theorem and Banach contraction mapping principle, and two examples are constructed to support our main results. The results obtained in this study enrich the existing related works.

Key words: fractional Langevin equation, dual anti-periodic boundary condition, p-Laplace operator, existence and uniqueness of solution, fixed point theorem

CLC Number: 

  • O175.8
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