Riemann-Liouville fractional derivative
A Caputo fractional derivative of a function with respect to another function
... Caputo fractional derivative with respect to another ...Caputo fractional derivative with the Riemann–Liouville fractional derivative with respect to another ...
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Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
... involving fractional operators, such as fractional differential equations, control problems, etc, is that solving them analytically has proven to be hard or even ...Hadamard fractional operators with ...
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Variational Problems Involving a Caputo-Type Fractional Derivative
... Caputo fractional derivative coincides with the Riemann–Liouville fractional ...Caputo–Hadamard derivative is a very recent concept [11, 12], and it combines the Caputo ...
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Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
... (left) Riemann–Liouville fractional derivative ( Podlubny, 1999 ...the fractional derivative to time scales, using the Caputo approach instead of the ...
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Functional differential equations involving the ψ-Caputo fractional derivative
... ψ-Caputo fractional derivative. By choosing this type of derivative, we present some results valid for a wide class of ...different fractional derivatives. For example, for the ...
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Monotone method for Riemann-Liouville multi-order fractional differential systems
... scalar fractional differential equations and single-order fractional systems require modification, but at the same time multi-order systems present far more possibilities for ...
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A Discretization of the Hadamard fractional derivative
... for fractional derivatives and for fractional integrals, which are generalizations of the integer-order derivatives and multiple integrals, ...the Riemann–Liouville, Caputo and ...
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Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
... Caputo derivative seems more suitable in ...Caputo derivative of a constant is zero, whereas for the Riemann–Liouville is ...solving fractional differential equations, of the ...
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Regional enlarged observability of fractional differential equations with Riemann—Liouville time derivatives
... (1823), Liouville (1832), Riemann (1847), Greer (1859), Grünwald (1867), Laurent (1884), Heaviside (1892), Pincherle (1902), Marchaud (1927), Love (1938), Widder (1941), Riesz (1949), Feller (1952), among ...
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Fractional variational problems with the Riesz-Caputo derivative
... some fractional deriva- tives and/or fractional ...decades, fractional calculus has called the attention of many researchers in different fields, not only on pure and applied mathematics, but also ...
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Uma generalização da Integral de Riemann
... de Riemann Generalizada com a Derivada Ordinária através do Teorema Fundamental do Cálculo, enquanto que Jack Lamoreaux e Gerald Armstrong [8], definem a Derivada Paramétrica (também chamada Derivada ...
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Hipótese de Riemann e física
... de Riemann, dar uma evidˆencia forte dela e apresentar algumas propriedades dos zeros de ζ(s) em rela¸c˜ao ` a uma regi˜ ao de C que chamamos faixa ...de Riemann, um delas importante na Teoria das ...
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A função não-diferenciável de Riemann
... Segundo o relato de Weierstrass no dia 18 de julho de 1872 `a Academia Real de Ciˆencias em Berlim, essa fun¸c˜ao havia sido introduzida por Riemann como um exemplo de uma fun¸c˜ao cont´ınua que n˜ao possui ...
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Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
... Caputo derivative, but does not affect the generality of the ...called fractional left-monogenic if it satisfies Du = 0 on Ω (resp. fractional right-monogenic if it satisfies uD = 0 on ...
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O Problema de Sturm-Liouville e aplicações
... Nesta monografia fazemos um estudo bibliogr´afico relativos ao problema de Sturm- Liouville, seguindo as referˆencias [2], [3], [4], [5] e [6]. Tamb´em daremos um exemplo que ilustra a maneira como as equa¸c˜oes ...
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Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method
... The fractional diffusion equation is valuable for describing reactions in the dispersive transport media ...([5]-[6]). Fractional reaction-diffusion equations or continuous time random walk models are also ...
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Uma Abordagem Sobre os Números de Liouville
... No capítulo anterior, vimos que o Teorema 1.5, garante a existência de números transcendentes. Porém não fornece de maneira explicita nenhum número transcendente. Desta forma, coube então ao matemático francês, Joseph ...
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A Integral de Riemann-Stieltjes
... somas infinitas de áreas de retângulos inscritos para calcular áreas de curvas, dando o pontapé inicial no que hoje é conhecido como Integral de Riemann. Seu método, no entanto, era baseado em exemplos e não tinha ...
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Correlation functions in super liouville theory
... uum approach (Liouville theory) [2-5] it is difficult to calculate correlation functions, while its supersymmetric generalization (super Liouville theory) [6-8] is well known.. Recently,[r] ...
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Alguns resultados relacionados a números de Liouville
... de Liouville (ξ, η) tais que F (ξ, η) = t, al´ em disso, estamos supondo que para qualquer par (ξ, η), satisfazendo F (ξ, η) = t, os n´ umeros ξ e η s˜ ao algebri- camente dependentes, sendo assim, para cada um ...
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