Basic Concepts of Fractional Differential Equations - K, Karthikeyan
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Fractional calculus is a field of mathematics study that grows out of the traditional definitions of calculus integral and derivative operators in much the same way fractional exponents is an outgrowth of exponents with an integer value.It is generally known that integer-order derivatives and integrals have clear physical and geometric interpretations. However, in case of fractional-order integration and differentiation, which represent a rapidly qrowing field both in theory and in applications to real world problems, it is not so. Since the appearance of the idea of differentiation and…mehr

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Produktbeschreibung
Fractional calculus is a field of mathematics study that grows out of the traditional definitions of calculus integral and derivative operators in much the same way fractional exponents is an outgrowth of exponents with an integer value.It is generally known that integer-order derivatives and integrals have clear physical and geometric interpretations. However, in case of fractional-order integration and differentiation, which represent a rapidly qrowing field both in theory and in applications to real world problems, it is not so. Since the appearance of the idea of differentiation and integration of arbitrary (not necessary integer) order there was not any acceptable geometric and physical interpretationof these operations for more than 300 years.
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Autorenporträt
Dr.K.Karthikeyan was awarded Elsevier (US) Certificate for quality Research by ¿Acta Mathematica Scientiä for his contribution to the quality of the journal made by Existence and uniqueness results for boundary value problems of higher order fractional intergro-differential equations involving gronwall¿s inequality in banach spaces.