Open AccessHyers - Ulam Stability Results for Discrete Antiperiodic Boundary Value Problem with Fractional Order
Author(s) -
A. George Maria Selvam,
R. Dhineshbabu
Publication year - 2019
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.a2123.109119
Subject(s) - boundary value problem , mathematics , stability (learning theory) , mathematical analysis , order (exchange) , fractional calculus , nonlinear system , operator (biology) , work (physics) , physics , thermodynamics , chemistry , computer science , biochemistry , finance , repressor , quantum mechanics , machine learning , transcription factor , economics , gene
In this present work, we investigate Ulam stability for the following nonlinear discrete antiperiodic boundary value problem with fractional order of the form 0 ( ) C ( ) = 1, ( 1) , k v k k v k + − + − for 0 k[0,L + 2] = 0,1,...,L + 2 , with boundary conditions v( −3) = −v( + L) , v( − 3) = −v( + L) , 2v( −3) = −2v( + L) , where 2 :[ 2, L] − − + → is a continuous and 0 C k is the Caputo fractional difference operator with order 2 <3 . Finally, the main results are illustrated by some examples.