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

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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