فهرس "On Fractional Ordinary Differential Equations"
On Fractional Ordinary Differential Equations
1 Introduction and Preliminaries
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1.1 The Gamma and Beta Functions
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1.2 The Mittag-Le_er Functions .
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1.3 Some Functions Related To The Incomplete Gamma Function . . .
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2 Fractional Integral and Fractional Derivative
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2.1 Riemann-Liouville Fractional Integral . . .
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2.2 Riemann-Liouville Fractional Derivative
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2.3 Examples of Fractional Integrals and Derivatives
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2.4 Dirichlet's Formula
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2.5 Relation between Fractional Integral and Fractional Derivative . .
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2.6 Leibniz's Formula for Fractional Integrals . .
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2.7 Laplace Transform of the Fractional Integral and Derivative .
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3 Fractional Di_erential and Integral Equations
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3.1 Fractional Integral Equations .
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3.2 Fractional Di_erential Equations .
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3.2.1 Fractional Cauchy Operator .
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3.3 Sequential Fractional Di_erential Equation
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3.3.1 Laplace Transform for Sequential Fractional Di_erential Equa-
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3.4 Linear Fractional Di_erential Equations
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