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Note that relation Eq. (1) is the fundamental differential transmission relation.
A criterion for cylinder flooding to occur, based on the fundamental differential equations, is presented.
The fundamental differential equations are established for the bending problem of the continuous plate.
The fundamental differential equations involving Dirac's delta function are established for the bending problem of the plate with point supports.
The authors of [14] established the existence theorem for fractional hybrid differential equations and some fundamental differential inequalities, they also established the existence of extremal solutions.
They were the first authors able to prove the existence and uniqueness results as well as various fundamental differential inequalities corresponding to the hybrid differential equations.
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This definition is fundamental in differential geometry and has many uses – see pushforward (differential) and pullback (differential geometry).
The main idea is to design a proper nonlinear state feedback controller by using four construction criterions from a fundamental fractional differential nominal linear system, so that the controlled fractional differential system can generate multi-wing chaotic attractors.
Moreover, they have established some fundamental fractional differential inequalities and the comparison principle.
Some fundamental fractional differential inequalities which are utilized to prove the existence of extremal solutions are also established.
This chapter describes several techniques used to discretize and solve the most fundamental partial differential equations that arise in landscape evolution.
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