A Study on Linear Prabhakar Fractional Systems with Variable Coefficients

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Aydın M., Mahmudov N. I.

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, vol.23, no.5, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1007/s12346-024-01065-1
  • Journal Name: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

The focus of this paper is on addressing the initial value problem related to linear systems of fractional differential equations characterized by variable coefficients, incorporating Prabhakar fractional derivatives of Riemann-Liouville and Caputo types. Utilizing the generalized Peano-Baker series technique, the state-transition matrix is acquired. The paper presents closed form solutions for both homogeneous and inhomogeneous cases, substantiated by illustrative examples.