Abstract
In this paper, we are concerned with the oscillation criteria for self-adjoint alpha-fractional matrix differential system with damping term. By using the generalized Riccati technique and the averaging technique, some new oscillation criteria are obtained.
Highlights
Fractional calculus is a branch of mathematics, which is as old as calculus but the applications are rather recent
The fractional order differential equations have been used to model several physical phenomena emerging in various Physical sciences, Biological, Ecological, Economics and Financial mathematics
The conformable derivative of Khalil was soon generalized by Katugampola which is reffered as katugampola fractional derivative or α-fractional derivative
Summary
Fractional calculus is a branch of mathematics, which is as old as calculus but the applications are rather recent. We study oscillatory behavior of solutions of the α-fractional matrix differential system (1). Theorem 3.1 Suppose that the functions H ∈ C(D, R), h1, h2 ∈ C(D0, R) and k, ρ ∈ Cα ([t0, ∞), (0, ∞)) satisfy the following conditions: (H1) H(t, t) = 0 for t ≥ t0, H(t, s) > 0 on D0;
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