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1
  • MATHEMATICAL FORMULATION AND ITS ANALYTICAL SYNTHETICS



Dr.C.Vasudevan

Abstract:
What is mathematics is question of pedagogy of learning, in learning processes of mathematics. This article attempt and tries to express its contents to be of simple mathematical is in how in formulation and its nature of analytical synthetics. It viewed that the nature of mathematics in terms more of logical formulation and observed its expressiveness in terms but its logical synthetics. The theory of mathematics could not be constituted with identies but possibilities in definable class, relation in explanation by logical truth is an essential part of modern mathematics. Thus this article gives the ideas of this expression.


1-17
2
  • THE RELEVANCE OF THE BASIC FRACTIONAL CALCULUS WITH NUMERICAL METHODS



PINKEY

Abstract:
Fractional calculus is the study of different fractional orders-integral operators, and it is used in many engineering and scientific fields. A fractional difference makes up the newline. Only an operator with a comprehensive perspective on the common distinction. Fractional derivative newline equations, such as real or complex order differentiation, have not fully addressed the exceptional complexity of many components in some of the most diverse fields of engineering and research that depend on complex newline structures. In this paper, we present a unique numerical method for solving fractional differential equations. Given a fractional derivative of any real order, we provide an approximation method for the fractional operator using solely integer-order derivatives. As a result, we can rephrase FDEs in terms of a conventional model and then use any acceptable technique. With a few examples, we show how accurate the method.


18-27
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