Numerical approach of riemann-liouville fractional derivative operator
International Journal of Electrical and Computer Engineering (IJECE), 2021 <p>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 some of forthright computations, and by utilizing the so-called weighted mean value ...
Ramzi B. Albadarneh +4 more
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On the k-Riemann-Liouville fractional derivative
International Journal of Contemporary Mathematical Sciences, 2013 The aim of this paper is to introduce an alternative denition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5].
Luis Guillermo Romero +3 more
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Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
, 2015 Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen +2 more
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An alternative definition for the k-Riemann-Liouville fractional derivative [PDF]
Applied Mathematical Sciences, 2015 Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matematica; Argentina.
G. A. Dorrego
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The Riemann–Liouville fractional derivative for Ambartsumian equation
Results in Physics, 2020 La ecuación de Ambartsumian, basada en la derivada fraccionaria modificada de Riemann–Liouville, se analiza en este trabajo. La solución se expresa como una serie de potencias de potencias arbitrarias y se ha comprobado su convergencia. Además, mostramos que la presente solución se reduce a los resultados en la literatura cuando la derivada ...
Essam R. El‐Zahar +4 more
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
Axioms, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative [PDF]
Advances in Differential Equations, 2018 We aim to investigate the following nonlinear boundary value problems of fractional differential equations: (Pλ){−tD1α(|0Dtα(u(t))|p−20Dtαu(t))=f(t,u(t))+λg(t)|u(t)|q−2u(t)(t∈(0,1)),u(0)=u(1)=0, $$\begin{aligned} (\mathrm{P}_{\lambda}) \left ...
Kamel Saoudi +4 more
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Three layers thermal protection system modeling by Riemann-Liouville fractional derivative. [PDF]
Sci RepBrociek R, Hetmaniok E, Słota D.
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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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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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