Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales

1. Elements of the Time Scale Calculus.- 2. The Laplace Transform on Time Scales.- 3. The Convolution on Time Scales.- 4. The Riemann-Liouville Fractional D-Integral and the Riemann-Liouville Fractional D-Derivative on Time Scales.- 5. Cauchy Type Problem with the Riemann-Liouville Fractional D-Derivative.- 6. Riemann-Liouville Fractional Dynamic Equations with Constant Coefficients.- 7. The Caputo Fractional D-Derivative on Time Scales.- 8. Cauchy Type Problem with the Caputo Fractional D-Derivative.- 9. Caputo Fractional Dynamic Equations with Constant Coefficients.- Appendix: The Gamma Function.- Appendix: The Gamma Function.- Index.

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• Cálculo integral e equações
• Física Matemática

fractional calculus;Fractional differential equations;Time-Scale Calculus;Riemann-Liouville Fractional Dynamic Equations;Caputo Fractional Dynamic Equations;Cauchy Type Problem;The Laplace Transform;Convolution on Time Scales;Svetlin Georgiev