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Journal of Environmental Biology

pISSN: 0254-8704 ; eISSN: 2394-0379 ; CODEN: JEBIDP

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    Abstract - Issue Sep 2016, 37 (5)                                     Back

nstantaneous and historical temperature effects on a-pinene

Generalized population dynamic operator with delay based

on fractional calculus


Rabha W. Ibrahim1*, M.Z. Ahmad2 and M. Jasim Mohammed2

1Faculty of Computer Science and Information Technology, University, Malaya, 50603, Malaysia

2Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau Perlis, Malaysia

*Corresponding Author E-mail:

Publication Data

Paper received:

04 November 2015


Revised received:

27 April 2016


Re-revised received:

05 May 2016



23 June 2016



In population dynamics, a growing population consumes more food than a matured one that depends upon condition of individual species. This hints to neutral equations. In the present study, certain sufficient conditions for the existence of periodic solutions to a generalized Rayleigh-type equation with state dependent delay, based on fractional calculus concept was investigated.   



 Key words

Fractional calculus, Fractional differential operator, Fractional differential equation,? Rayleigh equation,? Periodic solution 


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