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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

A new mathematical model of the dynamic of psychotherapy


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

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

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

*Corresponding Author E-mail:

Publication Data

Paper received:

06 November 2015


Revised received:

27 April 2016


Re-revised received:

05 May 2016



23 June 2016



The aim of the present study is to construct a mathematical model skilled in creating hard estimates about the dynamic of psychotherapy with a purpose of using it for better sequence therapists. The outcome of the calculations envisages a new viewpoint on the therapeutic relationship and a number of suitable visions. The proposed model is based on a class of fractional differential equations. This type of class was a generalized neutral differential equation of first order. Certain sufficient conditions for the existence of periodic outcomes have been imposed.   



 Key words

Fractional calculus, Fractional differential operator, Fractional differential equation, Psychotherapy



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