Opuscula Mathematica
Opuscula Math. 38, no. 1 (2018), 31-40

Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities

Amar Chidouh
Delfim F. M. Torres
Abstract. We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities are obtained.
Keywords: fractional difference equations, Lyapunov-type inequalities, fractional boundary value problems, positive solutions.
Mathematics Subject Classification: 26A33, 26D15, 39A12.
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About the authors ▼
Amar Chidouh
Houari Boumedienne University, Laboratory of Dynamic Systems, Algiers, Algeria
Delfim F. M. Torres
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
About the article ▼
Communicated by Marek Galewski.
Received: 2016-11-15.
Revised: 2017-05-31.
Accepted: 2017-06-18.
Published online: 2017-11-13.
Cite this article as ▼
Amar Chidouh, Delfim F. M. Torres, Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities, Opuscula Math. 38, no. 1 (2018), 31-40, https://doi.org/10.7494/OpMath.2018.38.1.31.
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