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

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.

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Published inRocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica Vol. 38; no. 1; pp. 31 - 40
Main Authors Chidouh, Amar, Torres, Delfim F. M.
Format Journal Article
LanguageEnglish
Published AGH Univeristy of Science and Technology Press 2018
Subjects
fractional boundary value problems
fractional difference equations
Lyapunov-type inequalities
positive solutions
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Summary: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.
ISSN:1232-9274
DOI:10.7494/OpMath.2018.38.1.31