Results 171 to 180 of about 1,104,545 (205)

Multivalued fractional differential equations

Applied Mathematics and Computation, 1995
In this paper we study the Cauchy problem of the multivalued fractional differential equation dδx(t)dtδ ∈ F(t,x(t)) a.e. onI = [O,T], δ ∈ R+ as a consequent result of the study of the Cauchy problem of the fractional differential equation dδx(t)dtδ = ƒ(t)), t ∈ I, δ ∈ R+ in the Banach space E, where F(t, x(t)) is a set-valued function defined on ...
Ahmed M. A. El-Sayed, Ahmed Ibrahim
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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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Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials

Mathematical methods in the applied sciences, 2019
In this paper, shifted Legendre polynomials will be used for constructing the numerical solution for a class of multiterm variable‐order fractional differential equations.
A. A. El-Sayed, P. Agarwal
semanticscholar   +1 more source

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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Analytical treatment of regularized Prabhakar fractional differential equations by invariant subspaces

Computational and Applied Mathematics, 2022
Yuming Chu, M. Inc., M. S. Hashemi, S. Eshaghi   +3 more
semanticscholar   +1 more source

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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