Results 331 to 340 of about 539,319 (362)

Regularity of the solution to Riesz-type fractional differential equation

Integral transforms and special functions, 2019
In this paper, the Riesz-type fractional differential equation is studied. For the equation defined on , its analytical solution is obtained. The existence and uniqueness of the solution are proved when the right-hand side term belongs to Lebesgue space.
Minhao Cai, Changpin Li
semanticscholar   +1 more source

Analytic solutions of fractional differential equation associated with RLC electrical circuit

Journal of Statistics & Management Systems, 2018
In the present article, we derived the solution of a fractional differential equation associated with a RLC electrical circuit with order 1 < a ≤ 2 and 1 < b ≤ 1. The Sumudu transform technique is used to derive the solution. The results are derived here
Vinod Gill, K. Modi, Yudhveer Singh
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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The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

, 2020
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition.
Yuchen Guo, Mengqi Chen, X. Shu, Fei Xu
semanticscholar   +1 more source

Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation

Journal of nonlinear science, 2021
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

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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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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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
openaire   +2 more sources