Results 61 to 70 of about 372,508 (154)
Fractional Boundary Layer Flow: Lie Symmetry Analysis and Numerical Solution
MathematicsIn this paper, we present a fractional version of the Sakiadis flow described by a nonlinear two-point fractional boundary value problem on a semi-infinite interval, in terms of the Caputo derivative.
Alessandra Jannelli +1 more
doaj +1 more source
On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative [PDF]
Advances in Mathematical Physics, 2015 The purpose of this paper is to investigate the existence of solutions to the following initial value problem for nonlinear fractional differential equation involving Caputo sequential fractional derivativeDc0α2Dc0α1yxp-2Dc0α1yx=fx,yx,x>0,y(0)=b0,Dc0α1y(0)=b1, whereDc0α1,Dc0α2are Caputo fractional derivatives,0<α1,α2≤1,p>1, andb0,b1∈R.
Rui Huang, Rui Huang, Hailong Ye
openaire +3 more sources
New variants of fuzzy optimal control problems
Asian Journal of Control, EarlyView.Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus +3 more
wiley +1 more source
Scientific ReportsThis paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo–Fabrizio derivative, the Atangana–Baleanu fractal and fractional ...
S Naveen, V Parthiban
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Towards Fractional Gradient Elasticity
, 2013 An extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe power-law type of non-locality is discussed. Two phenomenological possibilities are explored.
Aifantis, Elias C., Tarasov, Vasily E.
core +1 more source
Asian Journal of Control, EarlyView.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley +1 more source
Complexity, 2021 This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order ...
Ruihua Tang +6 more
doaj +1 more source
About Convergence and Order of Convergence of some Fractional Derivatives [PDF]
arXiv, 2020 In this paper we establish some convergence results for Riemann-Liouville, Caputo, and Caputo-Fabrizio fractional operators when the order of differentiation approaches one. We consider some errors given by $\left|\left| D^{1-\al}f -f'\right|\right|_p$ for p=1 and $p=\infty$ and we prove that for both Caputo and Caputo Fabrizio operators the order of ...
arxiv
Biofuels, Bioproducts and Biorefining, EarlyView.Abstract The industrial production of citric acid, an ingredient in beverages, pharmaceuticals, and cosmetics, is based on microbial fermentation of glucose or sucrose. Given the elevated cost of these sugars, lignocellulosic biomass is emerging as a cost‐effective and environmentally friendly feedstock for sustainable bioprocesses.
Ludovica Varriale +4 more
wiley +1 more source
On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative
Journal of Function Spaces, 2016 The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi +3 more
doaj +1 more source