Results 321 to 330 of about 692,681 (370)

An inverse problem approach to determine possible memory length of fractional differential equations

Fractional Calculus and Applied Analysis, 2021
It is a fundamental problem to determine a starting point in fractional differential equations which reveals the memory length in real life modeling. This paper describes it by an inverse problem. Fixed point theorems such as Krasnoselskii’s and Schauder
C. Gu, Guo-cheng Wu, B. Shiri
semanticscholar   +1 more source

On the fractional differential equations

Applied Mathematics and Computation, 1992
The author deals with the semilinear differential equation \(d^ \alpha x(t)/dt^ \alpha=f(t,x(t))\), \(t>0\), where \(\alpha\) is any positive real number. In [Kyungpook Math. J. 28, No. 2, 119-122 (1988; Zbl 0709.34011)] the author has proved the existence, uniqueness, and some properties of the solution of this equation when ...
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Measure of Noncompactness and Fractional Differential Equations in Frechet Spaces

Dynamic systems and applications, 2020
In this paper, the existence of solutions for an initial value problem of a fractional differential equation is obtained by means of Monch's fixed point theorem and the technique of measures of noncompactness. AMS (MOS) Subject Classification.
Fatima Mesri, M. Benchohra, J. Henderson
semanticscholar   +1 more source

Fractional Differential Equations

2018
Let the fractional differential equation (FDE) be $$\displaystyle (D^\alpha _{a_+}y)(t) = f[t,y(t)],\hspace {0.2 cm} \alpha > 0,\hspace {0.2 cm} t > a,$$ with the conditions: $$\displaystyle (D^{\alpha - k}_{a+}y)(a+) = b_k,\hspace {0.2 cm} k = 1,\ldots , n,$$ called also Riemann–Liouville FDE.
Constantin Milici, Gheorghe Drăgănescu, J. A. Tenreiro Machado   +2 more
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Fractional Differential Equations in Electrochemistry

Civil-Comp Proceedings, 2009
Electrochemistry was one of the first sciences to benefit from the fractional calculus. Electrodes may be thought of as ''transducers'' of chemical fluxes into electricity. In a typical electrochemical cell, chemical species, such as ions or dissolved molecules, move towards the electrodes by diffusion.
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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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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 Differential Equations

Synthesis Lectures on Mathematics & Statistics, 2023
M. Benchohra, E. Karapınar, J. Lazreg, A. Salim   +3 more
semanticscholar   +1 more source

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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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