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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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
Keywords
- Fractional order differential equation
- Fixed point theorem
- Boundary value problem
- Positive solution
- Green’s function
- Ulam–Hyers stability