نتایج جستجو برای: fuzzy caputo

تعداد نتایج: 91833  

2002
Michael R. Caputo M. Hossein Partovi

We establish four necessary and sufficient conditions for the existence of the Averch−Johnson effect in a generalized version of their famous model of the rate−of−return regulated firm. The four necessary and sufficient conditions are then compared to the two stronger sufficient conditions for the Averch−Johnson effect found in the literature. Our analysis also permits us to put to rest a somew...

2009
Vasily E Tarasov

Discrete maps with long-term memory are obtained from nonlinear differential equations with Riemann–Liouville and Caputo fractional derivatives. These maps are generalizations of the well-known universal map. The memory means that their present state is determined by all past states with special forms of weights. To obtain discrete maps from fractional differential equations, we use the equival...

A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative with the non-singular kernel is considered. The analysis elaborated for both non-singular kernel derivatives is shown the necessity of considering...

2011
Ming Li X. T. Xiong Y. J. Wang

Numerical evaluations of Caputo fractional derivatives for scattered noisy data is an important problem in scientific research and practical applications. Fractional derivatives have been applied recently to the numerical solution of problems in fluid and continuum mechanics. The Caputo fractional derivative of order α is given as follows f (t) = 1 Γ(1− α) ∫ t 0 f (s) (t− s)α ds, 0 < α < 1 The ...

Journal: :Math. Comput. 2015
Bangti Jin Raytcho D. Lazarov Joseph E. Pasciak William Rundell

In this work, we consider boundary value problems involving Caputo and Riemann-Liouville fractional derivatives of order α ∈ (1, 2) on the unit interval (0, 1). These fractional derivatives lead to non-symmetric boundary value problems, which are investigated from a variational point of view. The variational problem for the Riemann-Liouville case is coercive on the space H α/2 0 (0, 1) but the ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه شهید باهنر کرمان - دانشکده ریاضی و کامپیوتر 1389

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Journal: :Fractal and fractional 2021

The present research correlates with a fuzzy hybrid approach merged homotopy perturbation transform method known as the Shehu (SHPTM). With aid of Caputo and Atangana–Baleanu under generalized Hukuhara differentiability, we illustrate reliability this scheme by obtaining fractional Cauchy reaction–diffusion equations (CRDEs) initial conditions (ICs). Fractional CRDEs play vital role in diffusio...

2011
Zhengang Zhao Qian Guo Changpin Li

From the available literature, the allometric scaling laws generally exist in biology, ecology, etc. These scaling laws obey power law distributions. A possibly better approach to characterize the power law is to utilize fractional derivatives. In this paper, we establish a fractional differential equation model for this allometry by using the Caputo fractional derivatives.

2012
S. Das

In this article, the analytical method, Homotopy perturbation method (HPM) has been successfully implemented for solving nonlinear logistic model of fractional order. The fractional derivatives are described in the Caputo sense. Using initial value, the explicit solutions of population size for different particular cases have been derived. Numerical results show that the method is extremely eff...

2015
Ewa Girejko Dorota Mozyrska Małgorzata Wyrwas

*Correspondence: [email protected] Department of Mathematics, Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, Białystok, 15-351, Poland Abstract In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give a necessary condition for fractional viability of a locally closed set with respect to a nonli...

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