Solutions For Fractional Linear Systems With Hattaf Derivative

Authors

  • Sermin Öztürk Department of Mathematics( Afyon Kocatepe University, Faculty of Science and Literature, Afyonkarahisar 03200, Turkey)
  • Rabia Solak Department of Mathematics( Afyon Kocatepe University, Institue of Science, Afyonkarahisar 03200, Turkey)

DOI:

https://doi.org/10.24297/jam.v22i.9550

Keywords:

analytical solution, Hattaf derivative, linear system

Abstract

This paper deals with the analytical solutions of the fractional-order linear systems characterized by DX(t) = AX(t)
fractional differential equations. Here D, is the fractional derivative in the Hattaf sense and A is the (2x2)-type
non-singular real coefficient matrix. We present some results related to the existence of analytical solutions of the linear
equation systems of the Hattaf fractional derivative. These solutions are provided for three different fractional-order
linear systems.

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References

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Published

2023-12-02

Issue

Section

Articles

How to Cite

Solutions For Fractional Linear Systems With Hattaf Derivative. (2023). JOURNAL OF ADVANCES IN MATHEMATICS, 22, 95-100. https://doi.org/10.24297/jam.v22i.9550

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