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2019•AIP conference proceedingsRequires access

Multiple solutions of fractional difference equations with nonlocal conditions

Nikolay D. Dimitrov

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Abstract

The aim of this paper is the study of existence of positive solutions for fractional difference equations with nonlocal conditions. Under suitable conditions we prove that the considered problem has at least one or at least two solutions. The proof is based on Schauder’s fixed point theorem and Krasnosel’skii’s fixed point theorem, respectively. The results are illustrated with examples.

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What this paper is about

The aim of this paper is the study of existence of positive solutions for fractional difference equations with nonlocal conditions. Under suitable conditions we prove that the considered problem has at least one or at least two solutions. The proof is based on Schauder’s fixed point theorem and Krasnosel’skii’s fixed point theorem, respectively. The results are illustrated with examples.

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Available abstract

The aim of this paper is the study of existence of positive solutions for fractional difference equations with nonlocal conditions. Under suitable conditions we prove that the considered problem has at least one or at least two solutions. The proof is based on Schauder’s fixed point theorem and Krasnosel’skii’s fixed point theorem, respectively. The results are illustrated with examples.

Key concepts: Fixed-point theorem, Mathematics, Schauder fixed point theorem, Mathematical analysis, Point (geometry), Applied mathematics, Fractional calculus, Fixed point

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