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The mechanically-based approach to non-local elastic continuum, will be captured through variational calculus, based on the assumptions that non-adjacent elements of the solid may exchange central body forces, monotonically decreasing with their interdistance, depending on the relative displacement, and on the volume products.
A calculus based on the operator (D_{beta}) and its inverse is established.
In this paper, we present new results of the calculus based on the Hahn difference operator.
A calculus based on this operator and its inverse was established.
In Section 3, we establish mean value theorems in the calculus based on this operator.
A calculus based on a quantum difference operator is usually known as calculus without limits.
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Lastly, we compare the simulation results with the network calculus results based on network calculus model and simulation model.
His two-volume Treatise of Fluxions (1742), a defense of the Newtonian method, was written in reply to criticisms by Bishop George Berkeley of England that Newton's calculus was based on faulty reasoning.
The design calculus is based on the predicate logic in Hoare and He's Unifying Theories of Programming (UTP).
All these transformations are obtained by using a fractional calculus operator based on the Pochhammer contour integral.
Fractional calculus is based on the definition of integral and fractional operators (I^{H}_{a}) and (D^{H}_{a}).
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