# differential equation

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## differential equation

[‚dif·ə′ren·chəl i′kwā·zhən]
(mathematics)
An equation expressing a relationship between functions and their derivatives.
References in periodicals archive ?
Since, partial differential equations in the coupled problem under consideration had complicated mixed partial derivatives (Handibag and Karande, 2012).
Furthermore, the general solution for some impulsive fractional differential equations was found in [34-39].
In case N =1, consider nonlinear delay differential equation of third order
In recent years, fractional differential equations have played an important role in different research areas such as mechanics, electricity, biology, economics, notably control theory, and signal and image processing [1-5].
With other words, nature unity appears in an amazing similarity of differential equations from different kinds of phenomena.
Zhang: The existence of a positive solution for a nonlinear fractional differential equation, J.
Example (1) consider the first order differential equation
In general a second order partial differential equation takes the form:
In this paper the substantiation of one scheme of averaging for fuzzy differential equations with maxima is considered.
Differential equations of fractional order have recently proved valuable tools in the modelling of many physical phenomena [5; 13; 14; 25; 26].
is called Lagrange-d'Alembert's differential equation.
Non-standard finite difference schemes for the solution of equation (1) were introduced by Mickens (1994) as a powerful numerical methods that preserve significant properties of exact solution of the involved differential equation.

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