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In addition, practical examples were given to illustrate the application of such equations.
We refer also to the recent papers [32 35] in which the authors studied the existence and uniqueness of several classes of FDEs; for application of such equations, see [36 40] and the references therein.
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It is worth mentioning that there are real applications of such equations when (p=2) in [23, 24].
Such processes are studied by impulsive differential equations (for the relative theorems, we refer to [7]), and there are numerical applications of such equations in science and technology, mass services, etc. [8 11].
Important motivation in the study of integro-differential equation (1.2) can be found also in various applications of such equations in, for example, models of tumor-immune system interaction [9], hematopoiesis [10], stability and persistence in plankton models [25] which will be considered below.
Sometimes equations occur as simultaneous equations and the solution of such equations is extremely important in engineering applications.
Functional differential equations with infinite delay appear frequently in applications as model equations and for this reason the study of such equations has received great attention in the last few years.
Therefore, analysis of qualitative properties of solutions to such equations is crucial for applications; see Wang [1].
Applications of such an approach are varied.
Some systematic errors have been found during the application of the different equations, such as the assumption that students are sitting on chairs with a proper seat height.
For both the government and G.E., such equations of public sentiment are crucial.
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