ON OSCILLATION OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS

S. Panigrahi Department of Mathematics, Siksha ‘O’ Anusandhan(Deemed to be University), Khandagiri Square, Bhubaneswar-751030, Odisha, India, Email: santoshi.panigrahi1994@gmail.com
S. Chand Centre for Applied Mathematics and Computing, Siksha ‘O’ Anusandhan(Deemed to be University), Khandagiri Square, Bhubaneswar-751030, Odisha, India Email: mami_chand@yahoo.co.in

Abstract

In this paper the oscillation of functional differential equations and forced functional differential equations of fractional order with positive and negative coefficients have been studied by using the concept of modified Riemann-Liouville fractional derivatives. Several results have been obtained related to the oscillation of fractional functional differential equations and they have been justified by suitable examples.

Keywords:

Oscillation; Fractional differential equation ; Functional differential equation ; Modified Riemann-Liouville fractional derivative.


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