Results 11 to 20 of about 52,407 (243)
Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative [PDF]
, 2013 In this paper, the author puts forward a kind of anti-periodic boundary value problems of fractional equations with the Riemann-Liouville fractional derivative. More precisely, the author is concerned with the following fractional equation: D0+αu(t)=f(t,
Guoqing Chai
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Some New Gronwall-Bellman-Type Inequalities Based on the Modified Riemann-Liouville Fractional Derivative [PDF]
Journal of Applied Mathematics, 2013 By use of the properties of the modified Riemann-Liouville fractional derivative, some new Gronwall-Bellman-type inequalities are researched. First, we derive some new explicit bounds for the unknown functions lying in these inequalities, which are of ...
Bin Zheng
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An alternative definition for the k-Riemann-Liouville fractional derivative
, 2015 Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Cientificas y Tecnicas.
Gustavo A. Dorrego
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Journal of Function Spaces, 2022 Fractional derivatives are used to model the transmission of many real world problems like COVID-19. It is always hard to find analytical solutions for such models. Thus, approximate solutions are of interest in many interesting applications.
El-sayed El-hady +3 more
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Mathematics, 2023 In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal +2 more
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Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations
Fractal and Fractional, 2021 A system of nonlinear fractional differential equations with the Riemann–Liouville fractional derivative is considered. Lipschitz stability in time for the studied equations is defined and studied.
Snezhana Hristova +2 more
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Numerical approach of riemann-liouville fractional derivative operator
, 2021 This article introduces some new straightforward and yet powerful formulas in the form of series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing
Ramzi B. Albadarneh +4 more
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Fractal and Fractional, 2023 This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
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AIMS Mathematics, 2022 Riemann-Liouville fractional differential equations with impulses are useful in modeling the dynamics of many real world problems. It is very important that there are good and consistent theoretical proofs and meaningful results for appropriate problems.
Ravi Agarwal +2 more
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Fractional Newton-Raphson Method Accelerated with Aitken's Method
, 2021 In the following document, we present a way to obtain the order of convergence of the Fractional Newton-Raphson (F N-R) method, which seems to have an order of convergence at least linearly for the case in which the order $\alpha$ of the derivative is ...
Torres-Hernandez, A. +3 more
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