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Non-instantaneous impulses in caputo fractional differential equations

Agarwal, Ravi
; 
Hristova, Snezhana
; 
O’Regan, Donal
Repository DOI
Publication Date
2017-01-01
Keywords
non-instantaneous impulses, caputo fractional differential equation, boundary-value problem, lyapunov functions, stability, existence
Type
Article
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Citation
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (2017). Non-instantaneous impulses in caputo fractional differential equations. Fractional Calculus and Applied Analysis 20 (3), 595-622
Abstract
Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo fractional differential equations. In the literature there are two approaches in interpretation of the solutions. Both approaches are compared and their advantages and disadvantages are illustrated with examples. Also some existence results are derived.
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Publisher
Walter de Gruyter GmbH
Publisher DOI
10.1515/fca-2017-0032
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)