Results 21 to 30 of about 2,558 (225)
On the k-Riemann-Liouville fractional derivative
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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This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
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Approximation with Riemann-Liouville fractional derivatives [PDF]
n this article 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 smothness,less than one, of the approximated function and it is expressed via the left and right Riemann-Liouville fractional derivatives of it.
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Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dariusz Idczak, Rafal Kamocki
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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
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Fractional Diffusion Based on Riemann-Liouville Fractional Derivatives [PDF]
11 pages ...
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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
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A study of forced oscillations via Hilfer fractional derivative
The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo +1 more
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A New Generalized Definition of Fractional Derivative with Non-Singular Kernel
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined.
Khalid Hattaf
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Solution of Fractional Order Equations in the Domain of the Mellin Transform
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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