Riemann-liouville fractional derivative

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The Riemann–Liouville Fractional Δ-Integral and the Riemann–Liouville Fractional Δ-Derivative on Time Scales

2018
In this chapter we suppose that \(\mathbb {T}\) is a time scale with forward jump operator and delta differentiation operator σ and Δ, respectively.
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On a backward problem for fractional diffusion equation with Riemann‐Liouville derivative

Mathematical Methods in the Applied Sciences, 2019
In the present paper, we study the initial inverse problem (backward problem) for a two‐dimensional fractional differential equation with Riemann‐Liouville derivative. Our model is considered in the random noise of the given data. We show that our problem is not well‐posed in the sense of Hadamard. A truncated method is used to construct an approximate
Nguyen Huy Tuan +3 more
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Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville

Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann - Liouville derivative

Applied Mathematical Modelling, 2021
S R Saratha, G Sai Sundara Krishnan
exaly

Stability of fractional order of time nonlinear fractional diffusion equation with Riemann–Liouville derivative

Mathematical Methods in the Applied Sciences, 2022
Le Dinh Long, Ho Duy Binh, Devendra Kumar +2 more
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Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions

Applied Mathematics Letters, 2009
Guy Jumarie
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A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative

Applied Numerical Mathematics, 2015
Ercilia Sousa, Can Li
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Multiplicative Riemann-Liouville Fractional Integrals and Derivatives