On the structure of solutions of Volterra interval-valued integro-differential equations

Younus A., Shaheen T., Tunç C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1002/mma.6623
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we discuss the structure of the solutions for linear interval-valued Volterra integro-differential equations (VIDEs) based on gH-difference. The considered VIDEs consist of six forms. Among those six forms, three forms are obtained by using the definition of generalized Hukuhara difference (or gH-difference). We obtain solutions of that linear interval-valued VIDEs and discuss their properties. Some examples illustrate the theory.