Positive solutions for fractional difference equations using fixed point theorem
Lavanya. A.P, Daphy Louis Lovenia J.
Abstract
Lavanya. A.P, Daphy Louis Lovenia J.
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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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