A Lyapunov Type Inequality for a Class of Fractional Boundary Value Problems with Riemann-Liouville Derivative
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Authors: A. S. SILVA
DOI: 10.46793/KgJMat2603.347S
Abstract:
In this paper, a Lyapunov-type inequality is obtained for a class of fractional boundary value problems involving Riemann-Liouville fractional derivative of orders α ∈ (1, 2) and β ∈ (0,α − 1). The study is based on the construction of a Green’s function and the obtaining of its corresponding maximum value.
Keywords:
Fractional differential equations, Lyapunov inequality, Riemman-Liouville derivative, Green’s function.
References:
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