On Nonlinear Fractional Sum-Difference Equations via Fractional Sum Boundary Conditions Involving Different Orders

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,015, pages 1-8 (issn: 1024-123X, eissn: 1563-5147,

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Authors: Saowaluk Chasreechai; Chanakarn Kiataramkul; Thanin Sitthiwirattham;

doi: 10.1155/2015/519072

On Nonlinear Fractional Sum-Difference Equations via Fractional Sum Boundary Conditions Involving Different Orders

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Abstract

We study existence and uniqueness results for Caputo fractional sum-difference equations with fractional sum boundary value conditions, by using the Banach contraction principle and Schaefer’s fixed point theorem. Our problem contains different numbers of order in fractional difference and fractional sums. Finally, we present some examples to show the importance of these results.

Related Organizations

King Mongkut's University of Technology North Bangkok
Thailand

Keywords

General theory of functional equations and inequalities, Fractional derivatives and integrals

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