Global ETD Search
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Showing 1 to 9 of 9 for “"Riemann Liouville"”.
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ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
… integrals and derivatives, namely, the Riemann-Liouville and Hadamard fractional operators. The existence and uniqueness results for single term fractional differential equations (FDE) have also been established. We also obtain the Mellin transforms of such generalized fractional …
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Design of digital differentiators
… to describe the fractional model, such as the Riemann-Liouville and Caputo definitions. Through use of a feedback structure, based on the Riemann-Liouville definition. It is shown that the performance of the fractional differentiator can be improved in both the frequency-domain and time-domain. …
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Solução da equação de transporte multidimensional em geometria cartesiana e meio infinito usando derivada fracionária
… núcleo da equação integral com o da definição de Riemann-Liouville. Essa formulação foi aplicada ao cálculo de dose absorvida. São apresentadas soluções geradas a partir do emprego do método da derivada fracionária e comparadas a resultados disponíveis na literatura.
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On Differential Equations With Indefinite Principal Parts
… of right Caputo differential operators and left Riemann-Liouville differential operators with indefinite principal parts.
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Application of the Lagrangian descriptors method to Hamiltonian systems with emphasis to models of barred galaxies
… type derivatives and the GL approximation for Riemann-Liouville derivatives. We emphasise the differences between these two methods and examine the resulting phase space structures. Additionally, we investigate the effect of the final integration time and the order of the involved fractional …
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Basic functional and geometric inequalities for the fractional order operators on homogenous Lie groups
… order differential operators as Caputo, Riemann-Liouville and Hadamard fractional derivatives. Also, we discuss applica- tions of these inequalities. In addition, we show Lyapunov and Hartman-Wintner- type inequalities for a fractional partial differential equation with Dirichlet …
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NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer
… fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the first order nabla fractional …
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Analysis in Fractional Calculus and Asymptotics Related to Zeta Functions
… The most commonly used is the classical Riemann-Liouville model, but others may be preferred in different situations, and now new fractional models are being proposed and developed each year. This creates many opportunities for new research, since each time a model is proposed, its …