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Hyers–Ulam Stability to a Class of Fractional Differential Equations with Boundary Conditions

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Abstract

In this article, we study existence and uniqueness of a class of highly non-linear boundary value problem of fractional order differential equations. The concerned problem is investigated by means of classical fixed point theorem for the mentioned requirements. The Ulam–Hyer’s stability is also established for the class of fractional differential equations. Appropriate example is also provided which demonstrate the applicability of our results.

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Acknowledgements

We are really thankful to the reviewers for their useful comments which improved the quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Hazara University, Mansehra, Khyber Pakhtunkhwa, Pakistan

    Fazal Haq & Muhammad Shahzad

  2. Department of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, Pakistan

    Kamal Shah

  3. Department of Mathematics and Statistics, Swat University, Swat, Khyber Pakhtunkhwa, Pakistan

    Ghaus ur Rahman

Authors
  1. Fazal Haq
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  2. Kamal Shah
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  3. Ghaus ur Rahman
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  4. Muhammad Shahzad
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Correspondence to Ghaus ur Rahman.

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Haq, F., Shah, K., Rahman, G.u. et al. Hyers–Ulam Stability to a Class of Fractional Differential Equations with Boundary Conditions. Int. J. Appl. Comput. Math 3 (Suppl 1), 1135–1147 (2017). https://doi.org/10.1007/s40819-017-0406-5

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  • DOI: https://doi.org/10.1007/s40819-017-0406-5

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