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Analytical and numerical solutions of MABC fractional advection dispersion models by utilizing the modified physics informed neural networks with impacts of fractional derivative. [PDF]

Sci Rep
Az-Zo'bi EA, Hussain AS, Iqbal M, Aljohani A, Tashtoush MA, Alsubaie NE, Al-Hamarneh FKA, Nazar NM, Baleanu D.   +8 more
europepmc   +1 more source

Stringy Corrections to Heterotic SU(3)-Geometry. [PDF]

Commun Math Phys
McOrist J, Picard S.
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A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]

Sci Data
Dana Mazraeh H, Eslami S, Afzal Aghaei A, Parand K.   +3 more
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Nonlinear dynamics of Nosema ceranae and the fragile resilience of honeybee colonies under environmental strain. [PDF]

Sci Rep
Salman AM, Mohd MH, Almansoori AKK, Manmi KMA.   +3 more
europepmc   +1 more source

Poroelasticity derived from the microstructure for intrinsically incompressible constituents. [PDF]

Z Angew Math Phys
Penta R, Lonati C, Miller L, Marzocchi A.   +3 more
europepmc   +1 more source

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Stability Analysis of Nonlinear Neutral Functional Differential Equations

SIAM Journal on Control and Optimization, 2017
Employing a system transformation, the comparison principle and the spectral properties of Metzler matrices, the authors derive some new explicit criteria for the exponential stability of general nonlinear neutral functional differential equations. The results so obtained are both delay-dependent and delay-independent criteria.
Pham Huu Anh Ngoc, Hieu Trinh
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Neutral fuzzy fractional functional differential equations

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Dinh Phu, Vasile Lupulescu, Ngo Van Hoa   +2 more
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Neutral Mixed Type Functional Differential Equations

Journal of Dynamics and Differential Equations, 2015
The authors consider implicitly defined equations of mixed type which arose from examining electrical signaling in cardiac tissue and nerve conduction models. They are studying travelling wave solutions \((\phi,c)\) with \(\phi\) waveform and wave speed \(c\) which satisfy the following equation: \[ \sum\limits^N_{j=1}B_j(\xi)\left[-c\phi'(\xi+r_j)+f ...
Lamb, Charles, Van Vleck, Erik S.
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 2001
The problem of periodic solutions for nonlinear neutral functional-differential equations \[ \frac{d}{dt}D(t, x_t)=f(t,x_t) \] is discussed by using coincidence degree theory. A new result on the existence of periodic solutions is obtained.
Peng, Shiguo, Zhu, Siming
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Journal of the London Mathematical Society, 2002
The paper concerns the existence, uniqueness and global attractivity of periodic solutions to neutral functional-differential equations with monotone semiflows. The proofs are based on the theory established by Wu and Freedman for monotone semiflow generated by neutral functional-differential equations and Krasnosel'skii's fixed-point theorem.
Wang, Lianglong, Wang, Zhicheng, Zou, Xingfu   +2 more
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