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Fractional boundary value problems with Riemann-Liouville fractional derivatives [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tan, Jingjing, Cheng, Caozong
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Shock and Vibration, 2013 The paper presents vibration analysis of a simply supported beam with a fractional order viscoelastic material model. The Bernoulli-Euler beam model is considered. The beam is excited by the supports movement.
Jan Freundlich
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Study on the variable coefficient space–time fractional Korteweg de Vries equation
Ain Shams Engineering Journal, 2018 In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
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Mathematics, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Ravi Agarwal +3 more
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Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type [PDF]
, 2023 Valentine Aleksandrovich Kim +2 more
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales [PDF]
Abstract and Applied Analysis, 2013 Summary: The \(\Delta\)-power function and fractional \(\Delta\)-integrals and fractional \(\Delta\)-differential are defined, and then the definitions and properties of \(\Delta\)-Mittag-Leffler function are given. The properties of fractional \(\Delta\)-integrals and fractional \(\Delta\)-differential on time scales are discussed in detail.
Jiang Zhu, Ying Zhu
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Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator
Energy Science &Engineering, Volume 13, Issue 12, Page 5970-5987, December 2025.ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen +4 more
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Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
Advances in Difference Equations, 2019 This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α $C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations
Shaochun Ji, Dandan Yang
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