Results 91 to 100 of about 56,071 (293)
Output feedback robust stabilization of distributed‐order systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of robust fast stabilization for a class of dynamical systems characterized by slow and ultra‐slow dynamics. The system model is approximated using a distributed‐order derivative of the measured output, which captures the influence of the control input, system dynamics, and external disturbances.
Aldo Jonathan Muñoz‐Vázquez +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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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
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On a New Modification of the Erdélyi–Kober Fractional Derivative
Fractal and Fractional, 2021 In this paper, we introduce a new Caputo-type modification of the Erdélyi–Kober fractional derivative. We pay attention to how to formulate representations of Erdélyi–Kober fractional integral and derivatives operators.
Zaid Odibat, Dumitru Baleanu
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Cauchy problem with $\psi $--Caputo fractional derivative in Banach spaces
, 2020 This paper is devoted to the existence of solutions for certain classes of nonlinear differential equations involving the ψ–Caputo fractional derivative in Banach spaces.
C. Derbazi, Z. Baitiche, M. Benchohra
semanticscholar +1 more source
Functional Differential Equations Involving the ψ-Caputo Fractional Derivative
Fractal and Fractional, 2020 This paper is devoted to the study of existence and uniqueness of solutions for fractional functional differential equations, whose derivative operator depends on an arbitrary function.
R. Almeida
semanticscholar +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
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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
The space-time fractional diffusion equation with Caputo derivatives [PDF]
Journal of Applied Mathematics and Computing, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Fenghui, Liu, Fawang
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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
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