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AIMS Mathematics

2020, Volume 5, Issue 1: 385-398. doi: 10.3934/math.2020026
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Existence results for fractional order boundary value problem with nonlocal non-separated type multi-point integral boundary conditions

  • Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad, Pakistan
  • Received: 30 July 2019 Accepted: 17 November 2019 Published: 22 November 2019

  • MSC : 05A15, 15A18

  • In this article, we discuss the existence of solutions of a fractional boundary value problem of order m ∈ (1, 2], with nonlocal non-separated type integral multipoint boundary conditions. Shaefer type and Krasnoselskii's fixed point theorems are used to prove existence results for the given problem. To establish the uniqueness of solutions Banach contraction principle is used. The criteria for HyersUlam stability of the given boundary value problem is also discussed. Some examples are included for the illustration of our results.

    Citation: Nayyar Mehmood, Niaz Ahmad. Existence results for fractional order boundary value problem with nonlocal non-separated type multi-point integral boundary conditions[J]. AIMS Mathematics, 2020, 5(1): 385-398. doi: 10.3934/math.2020026

    Related Papers:

  • In this article, we discuss the existence of solutions of a fractional boundary value problem of order m ∈ (1, 2], with nonlocal non-separated type integral multipoint boundary conditions. Shaefer type and Krasnoselskii's fixed point theorems are used to prove existence results for the given problem. To establish the uniqueness of solutions Banach contraction principle is used. The criteria for HyersUlam stability of the given boundary value problem is also discussed. Some examples are included for the illustration of our results.


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