Oscillatory Criteria of Nonlinear Higher Order $\Psi$-Hilfer Fractional Differential Equations

Authors : Tuğba YALÇIN UZUN

Pages : 134-142

Doi:10.33401/fujma.888390

View : 24 | Download : 19

Publication Date : 2021-06-01

Article Type : Research Paper

Abstract :In this paper, we study the forced oscillatory theory for higher order fractional differential equations with damping term via $\Psi$-Hilfer fractional derivative. We get sufficient conditions which ensure the oscillation of all solutions and give an illustrative example for our results. The $\Psi$-Hilfer fractional derivative according to the choice of the $\Psi$ function is a generalization of the different fractional derivatives defined earlier. The results obtained in this paper are a generalization of the known results in the literature, and present new results for some fractional derivatives.
Keywords : Psi Hilfer fractional derivative, Damping term, Forced oscillation, Fractional differential equations