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Existence and Stability Analysis of Three Point Boundary Value Problem

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Abstract

In this research article, we study the existence and uniqueness of solution for a three points boundary value problem of fractional order differential equations. Further, we also investigate different kinds of Ulam stability such as Ulam-Hyers (UH) stability, generalized Ulam-Hyers (GUH) stability, Ulam-Hyers-Rassias (UHR) stability and generalized Ulam-Hyers-Rassias (GUHR) stability for the proposed problem. The concerned analysis is carried out via using classical technique of nonlinear functional analysis. The main results are demonstrated by providing couple of examples.

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Acknowledgements

We are really thankful to the reviewers for their nice suggestions and careful reading which improved the quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Peshawar, Peshawar, Khyber Pakhtunkhwa, Pakistan

    Zeeshan Ali & Akbar Zada

  2. Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

    Kamal Shah

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  1. Zeeshan Ali
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  2. Akbar Zada
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  3. Kamal Shah
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Correspondence to Zeeshan Ali.

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Ali, Z., Zada, A. & Shah, K. Existence and Stability Analysis of Three Point Boundary Value Problem. Int. J. Appl. Comput. Math 3 (Suppl 1), 651–664 (2017). https://doi.org/10.1007/s40819-017-0375-8

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  • DOI: https://doi.org/10.1007/s40819-017-0375-8

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