Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference | Zendy

Coşkun Yakar | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Author(s) -

Coşkun Yakar

Publication year - 2010

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2010/762857

Subject(s) - mathematics , differential equation , fractional calculus , stability (learning theory) , mathematical analysis , order (exchange) , finance , machine learning , computer science , economics

The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has been investigated. We compare the classical notion of stability to the notion of initial time difference stability for fractional-order differential equations in Caputo's sense. We present a comparison result which again gives the null solution a central role in the comparison fractional-order differential equation when establishing initial time difference stability of the perturbed fractional-order differential equation with respect to the unperturbed fractional-order differential equation

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research