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Solution of the singular differential equations via fractionall calculus operators

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2011
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Abstract (EN)

In the first chapter of this thesis that consists of four chapters; beginning, historical development and literature review of Fractional Derivative and Integrals (Differintegrals) were examined.In the second chapter; some properties including fundamental definitions and theorems for differintegrals were studied.In the third chapter; differintegrals and some mathematics techniques related to differintegrals were examined.In the last chapter; solutions of the singular differential equations with the help of the fractional calculus operators were given.Key words: Fractional Derivative and Integrals (Differintegrals), Fractional Calculus, Leibniz Rule, N-fractional calculus operator.

Author

Ökkeş Öztürk

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Ökkeş Öztürk (Master Thesis). Solution of the singular differential equations via fractionall calculus operators, 2011, Fırat University.

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