A generalized Lyapunov's inequality for a fractional boundary value problem
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🧮 math.CA
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boundaryfractionalinequalitylyapunovnonlinearproblemvalueassumptions
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We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization of Lyapunov's inequality. The new results are illustrated through examples.
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