Results 311 to 320 of about 481,023 (339)

On the fractional differential equations with uncertainty

Nonlinear Analysis: Theory, Methods & Applications, 2011
Abstract This paper is based on the concept of fuzzy differential equations of fractional order introduced by Agarwal et al. [R.P. Agarwal, V. Lakshmikantham, J.J. Nieto, On the concept of solution for fractional differential equations with uncertainty, Nonlinear Anal. 72 (2010) 2859–2862].
Vasile Lupulescu, Sadia Arshad
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Optimization of a Fractional Differential Equation [PDF]

, 2018
We consider a linear quadratic optimization problem where the state is governed by a fractional ordinary differential equation. We also consider control constraints. We show existence and uniqueness of an optimal state–control pair and propose a method to approximate it.
Abner J. Salgado, Enrique Otárola
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Fractional Ordinary Differential Equations

2020
First we consider simple fractional ordinary differential equations: $$\displaystyle \begin{aligned} D_t^{\alpha} u(t) = -\lambda u(t) + f(t), \quad ...
Katarzyna Ryszewska, Adam Kubica, Masahiro Yamamoto   +2 more
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WAVE EQUATION AND FRACTIONAL DIFFERENTIATION

2023
Source: Masters Abstracts International, Volume: 12-02, page: 1330.
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Fuzzy Fractional Differential Equations [PDF]

, 2020
Different materials and processes in many applied sciences like electrical circuits, biology, biomechanics, electrochemistry, electromagnetic processes and, others are widely recognized to be well predicted by using fractional differential operators in accordance with their memory and hereditary properties.
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Generalized Fractional Differential Equations

2019
In this chapter, the theory of linear and nonlinear fractional differential equations is developed and extended to a large class of generalized fractional evolutions. The used method is mostly that of semigroups and propagators as developed in Chapters 4 and 5. As previously, general facts are illustrated on concrete examples.
Vassili N. Kolokoltsov, Vassili N. Kolokoltsov   +1 more
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Fractional Integro-Differential Equations

2018
Fractional calculus is a generalization of the classical differentiation and integration of non-integer order. Fractional calculus is as old as differential calculus.
Toka Diagana, Toka Diagana, Toka Diagana
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Topics in Fractional Differential Equations

2012
Preface.- 1. Preliminary Background.- 2. Partial Hyperbolic Functional Differential Equations.- 3. Partial Hyperbolic Functional Differential Inclusions.- 4. Impulsive Partial Hyperbolic Functional Differential Equations.- 5. Impulsive Partial Hyperbolic Functional Differential Inclusions.- 6.
Mouffak Benchohra, Saïd Abbas, Gaston M. N’Guérékata   +2 more
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Numerics of Fractional Differential Equations

2019
Fractional calculus has become a basic tool for modeling phenomena involving memory. However, due to the non-local nature of fractional derivatives, the computations involved in solving a fractional differential equations (FDEs) are tedious and time consuming.
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Fractional Differential Equations

2015
Tadeusz Kaczorek, Krzysztof Rogowski
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