2016•Advances in Inequalities and ApplicationsRequires access

Positive solutions for fractional difference equations using fixed point theorem

Lavanya. A.P, Daphy Louis Lovenia J.

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Abstract

Consider a two point boundary value problem for fractional difference equation. Existence and uniqueness of the solutions of (1.1) are established using the contraction mapping theorem and krasnosel’skii theorem. Examples are provided to illustrate the result.

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What this paper is about

Consider a two point boundary value problem for fractional difference equation. Existence and uniqueness of the solutions of (1.1) are established using the contraction mapping theorem and krasnosel’skii theorem. Examples are provided to illustrate the result.

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Available abstract

Consider a two point boundary value problem for fractional difference equation. Existence and uniqueness of the solutions of (1.1) are established using the contraction mapping theorem and krasnosel’skii theorem. Examples are provided to illustrate the result.

Key concepts: Fixed-point theorem, Mathematics, Uniqueness, Contraction mapping, Picard–Lindelöf theorem, Mathematical analysis, Mean value theorem (divided differences), Uniqueness theorem for Poisson's equation

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