The Existence of Positive Solutions and A Lyapunov Type Inequality for Boundary Value Problems of th
Sigma Journal of Engineering and Natural Sciences 2019, Vol. 37, Issue 4, pp. 1129-1137; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-the-existence-of-positive-solutions-and-a-lyapunov-type-inequality-for-boundary-
Abstract
In this paper, a Lyapunov-type inequality and the existence of the positive solutions for boundary value problems of the nonlinear fractional Caputo-Fabrizio differential equation have been presented. By using the Guo Krasnoselskii’s fixed point theorem on cone and the properties of the associated Green`s function, we prove the existence of the positive solution. Finally, we gave some numerical examples to validate the theoretical findings.
Keywords: Lyapunov-type inequality; fractional Caputo-Fabrizio derivative; Green’s function; positive solution; fixed point.
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TOPRAKSEVEN, Ş. The Existence of Positive Solutions and A Lyapunov Type Inequality for Boundary Value Problems of th. Sigma Journal of Engineering and Natural Sciences 2019, Vol. 37, pp. 1129-1137. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-the-existence-of-positive-solutions-and-a-lyapunov-type-inequality-for-boundary-
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