Results 31 to 40 of about 187,262 (303)
Journal of Function Spaces, 2021 In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative.
H. R. Marasi +2 more
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Fractional Derivatives in Dengue Epidemics [PDF]
AIP Conference Proceedings, 2011 This is a preprint of a paper accepted for presentation at ICNAAM 2011, Numerical Optimization and Applications Symposium, whose final and definite form will appear in AIP Conference ...
Shakoor Pooseh +6 more
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Fuzzy Generalized Conformable Fractional Derivative
Advances in Fuzzy Systems, 2020 We give a new definition of fuzzy fractional derivative called fuzzy conformable fractional derivative. Using this definition, we prove some results and we introduce new definition of generalized fuzzy conformable fractional derivative.
Atimad Harir +2 more
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Fractional Derivatives and the Fundamental Theorem of Fractional Calculus [PDF]
Fractional Calculus and Applied Analysis, 2020 In this paper, we address the one-parameter families of the fractional integrals and derivatives defined on a finite interval. First we remind the reader of the known fact that under some reasonable conditions, there exists precisely one unique family of the fractional integrals, namely, the well-known Riemann-Liouville fractional integrals.
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On Fractional Derivatives and Application
Recoletos Multidisciplinary Research Journal, 2013 In many instances, the first derivative of the functional representation f(x) will fail to exist (Mandelbrot, 1987). When this happens, it is important to develop an appropriate language to describe these minute finer roughness and irregularities of the geometric objects.
Mark S. Borres +2 more
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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A Discretization of the Hadamard fractional derivative
Mathematical Sciences and Applications E-Notes, 2016 This is a preprint of a paper whose final and definite form is in "J. Math. Sci. Appl. E-Notes"
ALMEİDA, Ricardo, BASTOS, Nuno R. O.
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Nonholonomic constraints with fractional derivatives [PDF]
Journal of Physics A: Mathematical and General, 2006 We consider the fractional generalization of nonholonomic constraints defined by equations with fractional derivatives and provide some examples. The corresponding equations of motion are derived using variational principle.
George M. Zaslavsky +3 more
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, 2023 The article provides a brief historical overview of the development of fractional computing, and considers special functions of mathematical analysis for working with non-integer derivatives. Caputo and Riemann-Liouville fractional derivatives are considered.
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Intertwining Certain Fractional Derivatives [PDF]
Potential Analysis, 2011 We obtain an intertwining relation between some Riemann-Liouville operators of order a in (1,2) connecting through a certain multiplicative identity in law the one-dimensional marginals of reflected completely asymmetric a-stable Lévy processes.
Thomas Simon, Pierre Patie
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