On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative
International Journal of Differential Equations, 2012 Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative.
Mehmet Merdan
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Analysis and Modeling of Fractional-Order Buck Converter Based on Riemann-Liouville Derivative
IEEE Access, 2019 In previous studies, researchers used the fractional definition of Caputo to study fractional-order power converter. However, it is found that the model based on Caputo fractional definition is inconsistent with the actual situation.
Zhihao Wei, Bo Zhang, Yanwei Jiang
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Nabla Fractional Derivative and Fractional Integral on Time Scales
Axioms, 2021 In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi +4 more
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Properties of a subclass of analytic functions defined by Riemann-Liouville fractional integral applied to convolution product of multiplier transformation and Ruscheweyh derivative [PDF]
, 2023 Alina Alb Lupaş, Mugur Acu
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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Type of Leibniz Rule on Riemann-Liouville Variable-Order Fractional\n Integral and Derivative Operator [PDF]
, 2021 Dagnachew Jenber, Mollalign Haile
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Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative
Journal of Taibah University for Science, 2020 In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
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Robust Control Using a Matrix Converter to Enhance Wind Turbine Systems
Energy Science &Engineering, Volume 14, Issue 6, Page 2785-2815, June 2026.This study uses a more efficient and effective solution to improve the operational performance of a wind turbine‐based power system. This system uses a doubly fed induction generator and relies on a matrix converter and fractional‐order proportional–integral controller.
Sihem Ghoudelbourk +4 more
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Fractional Telegraph equation with the Riemann-Liouville derivative
, 2023 The Telegraph equation $(\partial_{t}^{ρ})^{2}u(x,t)+2α\partial_{t}^{ρ}u(x,t)-u_{xx}(x,t)=f(x,t)$, where ...
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