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Fractional Ince equation with a Riemann–Liouville fractional derivative
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfredo Parra-Hinojosa +1 more
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On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative
Fractal and Fractional, 2022 The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
Menglibay Ruziev, Rakhimjon Zunnunov
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Applied Mathematical Modelling, 2013 In this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative.
Mehmet Merdan
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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.
Zhenhai Liu, Xiuwen Li
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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.
Zhenhai Liu, Xiuwen Li
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Numerical Methods for Partial Differential Equations, 2017
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
Abdon Atangana, J. F. Gómez‐Aguilar
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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
Abdon Atangana, J. F. Gómez‐Aguilar
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Axioms, 2014 This paper deals with the investigation of the computational solutions of a 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 ...
H J Haubold +2 more
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Fractional Approximation by Riemann–Liouville Fractional Derivatives
2020In 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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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, 2011Riemann-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 +2 more
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Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
Journal of Physics A: Mathematical and Theoretical, 2011In 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 +2 more
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The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative
Mathematical Methods in the Applied Sciences, 2019The 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 with Riemann‐Liouville fractional derivative. We firstly show that the solution operator of the problem
Yong Zhou, Jing Na Wang
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