Results 201 to 210 of about 5,408 (262)

Fractional order modeling of hepatitis C transmission dynamics with physics-informed neural network solutions. [PDF]

BMC Infect Dis
Muthupandi V, Gnanaprakasam AJ, Boulaaras S.   +2 more
europepmc   +1 more source

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

Singularity formation in 3D Euler equations with smooth initial data and boundary. [PDF]

Proc Natl Acad Sci U S A
Chen J, Hou TY.
europepmc   +1 more source

Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition. [PDF]

Commun Math Phys
Bershtein M, Feigin B, Trufanov A.
europepmc   +1 more source

Dynamical behavior of analytical solutions and bifurcation analysis for a novel structured (2+1)-dimensional Kadomtsev-Petviashvili equation via analytic approach. [PDF]

Sci Rep
Ghayad MS, Hamada MY, Ahmed HM, Emadifar H, Ahmed KK.   +4 more
europepmc   +1 more source

Monitoring and investigation to control the brain network disease under immunotherapy by using fractional operator. [PDF]

Sci Rep
Farman M, Talib A, Jamil K, Nisar KS, Sambas A, Bayram M, Hafez M.   +6 more
europepmc   +1 more source

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Singular Integral Equations

Journal of Mathematical Physics, 1966
The integral equation P ∫ cK(ζ′,ζ)ζ′−ζφ(ζ′) dζ′=h(ζ)φ(ζ)+f(ζ)is shown to have simple solutions obtained by standard and elementary methods if h and K have appropriate analytic properties.
openaire   +3 more sources

Singularities of Solutions of Singular Integral Equations

Ukrainian Mathematical Journal, 2002
This paper deals with a singular integral equation \[ Sq+Tq=f,\tag{1} \] where \(q(x)\) is an unknown function, \[ Sq(x):=aq(x)+\frac{1}{\pi }\text{v.p.} \int_{-1}^{1} \frac{q(\tau)}{\tau -x} d\tau,\;Tq(x):=\int_{-1}^{1}K(x,\tau)q(\tau) d\tau. \] It is assumed that the functions \(f\) and \(K\) smoothly depend on additional parameters.
Kapustyan, V. E., Il'man, V. M.
openaire   +1 more source

Singular Integral Equations

2003
In this chapter we discuss some recent results for Fredholm and Volterra integral equations, which deal with the existence of positive (and possibly multiple) solutions of certain classes of these equations. In Section 3.2 we provide some existence results for the nonsingular Fredholm integral equations.
Ravi P. Agarwal, Donal O’Regan
openaire   +1 more source

Singular Integral Equations

The Mathematical Gazette, 2000
Ricardo Estrada, Ram P. Kanwal
  +5 more sources