A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Chartbupapan, Watcharin +5 more
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Fractional Langevin equation and Riemann-Liouville fractional derivative
, 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.
Kwok Sau Fa
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A new fractional analytical approach via a modified Riemann–Liouville derivative [PDF]
, 2012 This work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order.
Khan, Yasir +9 more
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Bilateral Riemann-Liouville Fractional Sobolev spaces [PDF]
, 2021 We establish some notation and properties of the bilateral Riemann-Liouville fractional derivative $D^s.$ We introduce the associated Sobolev spaces of fractional order $s$, denoted by $W^{s,1}(a,b)$, and the Bounded Variation spaces of fractional order $
Leaci, A +5 more
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Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]
, 2008 We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
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Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem [PDF]
, 2014 By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under ...
Zhiguo Luo, Jing Xiao, Wenzhe Xie
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Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense [PDF]
, 2022 In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals. Then,
Hüseyin Budak +5 more
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Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
Creep properties and constitutive model of diabase in deep water conveyance tunnels
Deep Underground Science and Engineering, Volume 5, Issue 2, Page 386-395, June 2026.The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao +5 more
wiley +1 more source
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
wiley +1 more source