Results 201 to 210 of about 21,294 (235)

Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

Journal of Physics A: Mathematical and Theoretical, 2011
In this paper, the solution of a fractional diffusion equation with a Hilfer-generalized Riemann–Liouville time fractional derivative is obtained in terms of Mittag–Leffler-type functions and Fox's H-function. The considered equation represents a quite general extension of the classical diffusion (heat conduction) equation. The methods of separation of
Trifce Sandev, Ralf Metzler, Živorad Tomovski   +2 more
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Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives

SIAM Journal on Control and Optimization, 2015
Summary: We deal with the control systems governed by fractional evolution differential equations involving Riemann-Liouville fractional derivatives in Banach spaces. Our main purpose in this article is to establish suitable assumptions to guarantee the existence and uniqueness results of mild solutions.
Liu, Zhenhai, Li, Xiuwen
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Fractional Approximation by Riemann–Liouville Fractional Derivatives

2020
In this chapter we study quantitatively with rates the pointwise convergence of a sequence of positive sublinear operators to the unit operator over continuous functions. This takes place under low order smoothness, less than one, of the approximated function and it is expressed via the left and right Riemann–Liouville fractional derivatives of it. The
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Optical soliton solutions of the time-fractional perturbed Fokas-Lenells equation: Riemann-Liouville fractional derivative

Optik (Stuttgart), 2019
Based on the Riemann-Liouville fractional derivative, the time-fractional nonlinear Fokas-Lenells equation is analyzed in this paper. The extended simplest equation method is implemented to construct several kinds of solitons such as singular and combo ...
B. Salah, E. El-Zahar, A. F. Aljohani, Abdelhalim Ebaid, Mohammed Krid   +4 more
semanticscholar   +1 more source

Initialization of Riemann-Liouville and Caputo Fractional Derivatives

Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 2011
Riemann-Liouville and Caputo fractional derivatives are fundamentally related to fractional integration operators. Consequently, the initial conditions of fractional derivatives are the frequency distributed and infinite dimensional state vector of fractional integrators.
Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup   +2 more
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Characterizations of certain Hankel transform involving Riemann–Liouville fractional derivatives

Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Upadhyay, S. K., Khatterwani, Komal
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Riemann Liouville Fractional Spatial Derivative Stabilization of Bilinear Distributed Systems

Journal of Applied Nonlinear Dynamics, 2019
Summary: The goal of this paper is to study a fractional output stabilization problem: the stabilization of the state fractional spatial derivative of complex purely imaginary order \(i\alpha\) with \(\alpha]0,1[\), for bilinear distributed systems.
Zitane, Hanaa, Larhrissi, Rachid, Boutoulout, Ali   +2 more
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Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2

Fractional Calculus and Applied Analysis, 2019
In this paper, we consider the existence of mild solutions and approximate controllability for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2.
Linxin Shu, X. Shu, J. Mao
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Stability and synchronization for Riemann-Liouville fractional-order time-delayed inertial neural networks

Neurocomputing, 2019
Stability and synchronization for Riemann-Liouville fractional-order time-delayed inertial neural networks are investigated in this paper. The model of fractional-order inertial neural network is proposed, which is more general and less conservative than
Yajuan Gu, Hu Wang, Yongguang Yu
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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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