Numerical methods for fractional partial differential equations with Riesz space fractional derivatives [PDF]
, 2010 In this paper, we consider the numerical solution of a fractional partial differential equation with Riesz space fractional derivatives (FPDE-RSFD) on a finite domain.
Yang, Qianqian, Liu, Fawang, Turner, I.
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Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]
, 2013 In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S +8 more
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Fractional investigation of time derivatives airflow process in a rectangular building [PDF]
, 2022 : The study investigates the fractional time derivatives of air flow process across vertical openings in rectangular building by Caputo sense. Governing equations of air flow are solved analytically by Laplace transform technique and method of ...
Abba Sunusi Yakasai +2 more
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On the oscillation of Hadamard fractional differential equations
Advances in Difference Equations, 2018 Hadamard fractional derivatives are nonlocal fractional derivatives with singular logarithmic kernel with memory, and hence they are suitable to describe complex systems.
Bahaaeldin Abdalla, Thabet Abdeljawad
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Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
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Variable-Order Fractional Calculus: from Old to New Approaches [PDF]
, 2023 Different approaches to introduce fractional derivatives and integrals of variable order have been proposed. The majority of these operators are obtained by replacing the constant order with some function in the time-domain formulation of the usual ...
Garrappa R., Giusti A., Mainardi F.
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Operational Calculus for the General Fractional Derivatives of Arbitrary Order
Mathematics, 2022 In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin.
Maryam Al-Kandari +2 more
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On the ψ -Hilfer fractional derivative
Communications in Nonlinear Science and Numerical Simulation, 2018 28 ...
José Vanteler da C. Sousa +1 more
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Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]
, 2010 A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for ...
Matignon, Denis +3 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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