Results 41 to 50 of about 12,553 (141)

On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative

Journal of Function Spaces, 2021
Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
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On the Leibniz rule and Laplace transform for fractional derivatives

, 2019
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan, Tse, Peter W., Wang, Yong, Wei, Yiheng   +3 more
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Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Fractional derivative generalization of Noether’s theorem

Open Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam, Nadjafikhah Mehdi, Jafari Hossein   +2 more
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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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p-Moment Mittag–Leffler Stability of Riemann–Liouville Fractional Differential Equations with Random Impulses

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, Snezhana Hristova, Donal O’Regan, Peter Kopanov   +3 more
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Stationarity-conservation laws for certain linear fractional differential equations

, 2001
The Leibniz rule for fractional Riemann-Liouville derivative is studied in algebra of functions defined by Laplace convolution. This algebra and the derived Leibniz rule are used in construction of explicit form of stationary-conserved currents for ...
Douglas J F, Hilfer R, Hilfer R, Hilfer R, Klimek M, Malgorzata Klimek, Miller K S, Nigmatullin R R, Oldham K B, Osler T J, Osler T J, Osler T J, Podlubny I, Samko S G, Schiessel H, Takahashi Y, Zavada P   +16 more
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Vibrations of a Simply Supported Beam with a Fractional Viscoelastic Material Model – Supports Movement Excitation

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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Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation

Results in Physics, 2019
In this paper, we obtain several novelty solutions by applying the improved F-expansion method to solve the space–time fractional Zakhorov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation and the space–time fractional symmetric regularized long wave (SRLW)
David Yaro, Aly R. Seadawy, Dianchen Lu, Wilson Osafo Apeanti, Saviour Worlanyo Akuamoah   +4 more
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Explicit Densities of Multidimensional L\'evy Walks

, 2015
We provide explicit formulas for asymptotic densities of the 2- and 3-dimensional ballistic L\'evy walks. It turns out that in the 3D case the densities are given by elementary functions.
Magdziarz, Marcin, Zorawik, Tomasz
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