Results 1 to 10 of about 21,294 (235)
Numerical Methods for Partial Differential Equations, 2018 In the last decade, theoretical and applied studies were done in order to provide a suitable definition of fractional derivative, which meets all the requirement of a derivative in its primary sense. It was concluded by some eminent researchers that the Riemann‐Liouville version was the most suitable. However, many numerical approximation of fractional
A. Atangana, J. F. Gómez‐Aguilar
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Numerical approach of riemann-liouville fractional derivative operator
International Journal of Electrical and Computer Engineering (IJECE), 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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On the k-Riemann-Liouville Fractional Derivative [PDF]
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].
L. G. 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 ...
P. Agarwal, Junesang Choi, R. Paris
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The Riemann–Liouville fractional derivative for Ambartsumian equation
Results in Physics, 2020 The Ambartsumian equation, based on the modified Riemann–Liouville fractional derivative, is analyzed in this paper. The solution is expressed as a power series of arbitrary powers and its convergence has been proven.
E. R. El-Zahar +4 more
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On the fractional derivatives at extrema points [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points.
Mohammed Al-Refai
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Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
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Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales [PDF]
Abstract and Applied Analysis, 2013 The -power function and fractional -integrals and fractional -differential are defined, and then the definitions and properties of -Mittag-Leffler function are given. The properties of fractional -integrals and fractional -differential on time scales are
Jiang Zhu, Yingjun Zhu
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Boundary-value problems for differential inclusions with Riemann–Liouville fractional derivative [PDF]
Nonlinear Oscillations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Benchohra, S. Djebali, S. Hamani
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Fractal and Fractional, 2022 In this paper, a new approach is developed to solve a class of first-order fractional initial value problems. The present class is of practical interest in engineering science. The results are based on the Riemann–Liouville fractional derivative.
Abdelhalim Ebaid, H. K. Al-Jeaid
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