An Existence and Uniqueness Result for Linear Sequential Fractional Boundary Value Problems (Bvps) Via Lyapunov Type Inequality
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Date
2017
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Publisher
Dynamic Publishers, inc
Abstract
A sufficient condition for the existence and uniqueness of solution of nonhomogenous fractional boundary value problem involving sequential fractional derivative of Riemann Liouville type is established by using a new Lyapunov type inequality and disconjugacy criterion. Green's function and some of its properties are also presented. Our approach is quite new and to the best of our knowledge, the uniqueness of solution of nonhomogenous fractional boundary value problems is proved by employing Lyapunov type inequality for the first time and this Lyapunov type inequality improves and generalizes the previous ones.
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Turkish CoHE Thesis Center URL
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N/A
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Source
Volume
26
Issue
1
Start Page
147
End Page
156