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Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations

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In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems… Click to show full abstract

In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions for the existence and uniqueness of positive solutions. We discuss Hyers–Ulam (HU) type stability of the concerned solutions and provide an example for illustration of the obtained results.

Keywords: system implicit; impulsive boundary; differential equations; boundary value; coupled system; value problems

Journal Title: Advances in Difference Equations
Year Published: 2019

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