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Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales

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Cover of 'Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales'

Table of Contents

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    Book Overview
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    Chapter 1 Elements of Time Scale Calculus
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    Chapter 2 The Laplace Transform on Time Scales
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    Chapter 3 Convolution on Time Scales
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    Chapter 4 The Riemann–Liouville Fractional Δ -Integral and the Riemann–Liouville Fractional Δ -Derivative on Time Scales
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    Chapter 5 Cauchy-Type Problems with the Riemann–Liouville Fractional Δ -Derivative
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    Chapter 6 Riemann–Liouville Fractional Dynamic Equations with Constant Coefficients
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    Chapter 7 The Caputo Fractional Δ -Derivative on Time Scales
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    Chapter 8 Cauchy-Type Problems with the Caputo Fractional Δ -Derivative
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    Chapter 9 Caputo Fractional Dynamic Equations with Constant Coefficients
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    Chapter 10 Appendix: The Gamma Function
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    Chapter 11 Appendix: The Beta Function
Attention for Chapter 4: The Riemann–Liouville Fractional Δ -Integral and the Riemann–Liouville Fractional Δ -Derivative on Time Scales
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