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Existence Theory And Ulam-Hyers Stability To Anti-Periodic Integral Boundary Value Problem Of Implicit Fractional Differential Equations
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Existence Theory And Ulam-Hyers Stability To Anti-Periodic Integral Boundary Value Problem Of Implicit Fractional Differential Equations

Arshad Ali and Kamal Shah
Applied mathematics e-notes, Vol.19, pp.228-242
01/01/2019

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we study the existence and stability results of Hyers-Ulam type to a class of implicit nonlinear fractional differential equations (FDEs) corresponding to implicit integral boundary condition. Using fixed point theory and non-linear functional analysis, we investigate the mentioned aspects of qualitative theory. At the end of our results, we provide an illustrative and interesting example to justify our obtained results.

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