Results 31 to 40 of about 580,476 (114)
On solutions of linear fractional differential equations and systems thereof [PDF]
Fractional Calculus and Applied Analysis, Volume 22, No 2 (2019),
479--494, 2018 It is well-known that one-dimensional time fractional diffusion-wave equations with variable coefficients can be reduced to ordinary fractional differential equations and systems of linear fractional differential equations via scaling transformations.
arxiv +1 more source
SEPARABLE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]
Fractals, 2016 The concept of local fractional derivative was introduced in order to be able to study the local scaling behavior of functions. However it has turned out to be much more useful. It was found that simple equations involving these operators naturally incorporate the fractal sets into the equations.
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On the fractional differential equations with not instantaneous impulses
Open Physics, 2016 AbstractBased on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.
Zhang, Xianmin +5 more
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A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
, 2017 We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations.
Agarwal, Ravi P. +4 more
core +1 more source
Converting fractional differential equations into partial differential equations
Thermal Science, 2012 A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
Zheng-Biao Li, Ji-Huan He
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Sir epidemic and predator - prey models of fractional-order [PDF]
, 2018 Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations.
Abiodun Ezekiel, Owoyemi
core
Multivariate fractional Poisson processes and compound sums
, 2015 In this paper we present multivariate space-time fractional Poisson processes by considering common random time-changes of a (finite-dimensional) vector of independent classical (non-fractional) Poisson processes.
Beghin, Luisa, Macci, Claudio
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Fractional complex transforms for fractional differential equations [PDF]
Advances in Difference Equations, 2012 The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples are illustrated to elucidate the solution procedure including the space-time fractional differential equation in complex domain, singular problems
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Fractional Vector Calculus and Fractional Maxwell's Equations
, 2011 The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the
Belleguie +55 more
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Asymptotic behavior of solutions of linear multi-order fractional differential equation systems [PDF]
Fract. Calc. Appl. Anal., Vol. 20, No. 5 (2017), pp. 1165-1195, 2017 In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems.
arxiv +1 more source