Research article

Existence of solutions for $q$-fractional differential equations with nonlocal Erdélyi-Kober $q$-fractional integral condition

  • Received: 22 June 2020 Accepted: 13 August 2020 Published: 24 August 2020
  • MSC : 39A13, 34B18, 34A08

  • In this paper, we obtain sufficient conditions for the existence, uniqueness of solutions for a fractional $q$-difference equation with nonlocal Erdélyi-Kober $q$-fractional integral condition. Our approach is based on some classical fixed point techniques, as Banach contraction principle and Schauder's fixed point theorem. Examples illustrating the obtained results are also presented.

    Citation: Min Jiang, Rengang Huang. Existence of solutions for $q$-fractional differential equations with nonlocal Erdélyi-Kober $q$-fractional integral condition[J]. AIMS Mathematics, 2020, 5(6): 6537-6551. doi: 10.3934/math.2020421

    Related Papers:

  • In this paper, we obtain sufficient conditions for the existence, uniqueness of solutions for a fractional $q$-difference equation with nonlocal Erdélyi-Kober $q$-fractional integral condition. Our approach is based on some classical fixed point techniques, as Banach contraction principle and Schauder's fixed point theorem. Examples illustrating the obtained results are also presented.


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