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GENERALIZED FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH ALEPH FUNCTION

Dinesh Kumar|최준상
장전수학회 (Jangjeon Mathematical Society)|2016.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제1호|pp. 145-156|DOI 10.17777/pjms.2016.19.1.015

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키워드

Mittag-Leffler functionI-functionRiemann-Liouville fractional integralFractional kinetic equationLaplace transformsH- functionM-Series
주제분류수학

초록

Fractional kinetic equations are investigated in order to describe various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Due to a great importance of the kinetic equations in certain astrophysical problems, their solutions have been investigated by a number of researchers. Very recently, the authors [4] used the Sumudu transform to present a very generalized solution of the fractional kinetic equations expressed in terms of Aleph functions. Here, by mainly using the Laplace transform, the authors aim at deriving a solution of the fractional kinetic equation which is also expressed in terms of Aleph functions. The main solution presented here is general enough to be specialized to include many earlier results associated with the kinetic equations.

Abstract

Fractional kinetic equations are investigated in order to describe various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Due to a great importance of the kinetic equations in certain astrophysical problems, their solutions have been investigated by a number of researchers. Very recently, the authors [4] used the Sumudu transform to present a very generalized solution of the fractional kinetic equations expressed in terms of Aleph functions. Here, by mainly using the Laplace transform, the authors aim at deriving a solution of the fractional kinetic equation which is also expressed in terms of Aleph functions. The main solution presented here is general enough to be specialized to include many earlier results associated with the kinetic equations.

참고문헌 (47)

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