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Fourth-order effective approximation of the normalized Riemann-Liouville tempered fractional derivatives and its applications

Jianxin Li, Zeshan Qiu
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Adsorption Kinetics: Classical, Fractal, or Fractional? [PDF]

Langmuir
Bakalis E, Zerbetto F.
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Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations. [PDF]

Sci Rep
Fendzi-Donfack E, Fotoula GRT, Jäntschi L, Fendzi MW, Tala-Tebue E, Nguenang JP, Pradeep J, Ghanshyam TG, Kenfack-Jiotsa A, Smerat A, Khishe M.   +10 more
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Fractional telegraph equation with the sequential Riemann-Liouville derivative

Fractional Differential Calculus
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The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative

Mathematical Methods in the Applied Sciences, 2019
The Rayleigh‐Stokes problem has gained much attention with the further study of non‐Newtonain fluids. In this paper, we are interested in discussing the existence of solutions for nonlinear Rayleigh‐Stokes problem for a generalized second grade fluid ...
Yong Zhou, Jing Na Wang
semanticscholar   +3 more sources

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].
L. G. Romero, L. L. Luque, G. A. Dorrego, R. A. Cerutti   +3 more
semanticscholar   +2 more sources

Fractional Langevin equation and Riemann-Liouville fractional derivative

The European Physical Journal E, 2007
In this present work we consider a fractional Langevin equation with Riemann-Liouville fractional time derivative which modifies the classical Newtonian force, nonlocal dissipative force, and long-time correlation. We investigate the first two moments, variances and position and velocity correlation functions of this system.
Kwok Sau Fa
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Operational Calculus for the Riemann–Liouville Fractional Derivative with Respect to a Function and its Applications

Fractional Calculus and Applied Analysis, 2021
Mikusiński’s operational calculus is a formalism for understanding integral and derivative operators and solving differential equations, which has been applied to several types of fractional-calculus operators by Y.
Hafiz Muhammad Fahad, A. Fernandez
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