Solutions For Fractional Linear Systems With Hattaf Derivative


  • 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)



analytical solution, Hattaf derivative, linear system


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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How to Cite

Öztürk, S., & Solak , R. . (2023). Solutions For Fractional Linear Systems With Hattaf Derivative. JOURNAL OF ADVANCES IN MATHEMATICS, 22, 95–100.