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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Some Contributions to the Theory of Abstract Degenerate Volterra Integro-Differential Equations

Marko Kostić1
  • 1 University of Novi Sad, Serbia

Abstract

In this study, we contribute to the existing theory of abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces. We investigate a class of abstract degenerate Volterra inclusions by using the multivalued linear operator approach, as well as a class of abstract degenerate multi-term fractional differential equations with Caputo derivatives by using the pure Laplace transform techniques.

Journal of Mathematics and Statistics
Volume 12 No. 2, 2016, 65-76

DOI: https://doi.org/10.3844/jmssp.2016.65.76

Submitted On: 24 March 2016 Published On: 17 June 2016

How to Cite: Kostić, M. (2016). Some Contributions to the Theory of Abstract Degenerate Volterra Integro-Differential Equations. Journal of Mathematics and Statistics, 12(2), 65-76. https://doi.org/10.3844/jmssp.2016.65.76

Open AccessCopyright: © 2016 Marko Kostić. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Abstract Degenerate Volterra Inclusions
  • Multivalued Linear Operators
  • Multi-Term Degenerate Fractional Differential Equations
  • Caputo Derivatives
  • Locally Convex Spaces
  • Mathematics Subject Classification, 47D06, 47D60, 47D62, 47D99