Results 31 to 40 of about 510 (151)

Solution of the Generalized Abel Integral Equation [PDF]

Journal of Integral Equations and Applications, 2008
This paper presents a direct method for solving (in closed form) a generalized Abel integral equation.
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Product integration for the generalized Abel equation [PDF]

Mathematics of Computation, 1972
The solution of the generalized Abel integral equation \[ g ( t ) = ∫ 0 t { k ( t , s ) / ( t ...
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Collocation method for Generalized Abel’s integral equations

Journal of Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pandey, Rajesh K., Sharma, Shiva, Kumar, Kamlesh   +2 more
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Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are ...
Leigh Becker
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Nonstationary Waveform Relaxation Methods for Abel Integral Equations

Journal of Integral Equations and Applications, 2004
The nonstationary waveform relaxation methods for solution Abel integral equations as \[ x(t) + \int\limits^t_0 \frac{h(t,\tau,x(\tau))}{(t-\tau)^{\alpha}}d\tau = f(t), \] \(0 \leq t \leq T,\) \(0 < \alpha
CAPOBIANCO, Giovanni, CRISCI M. R., RUSSO E.   +2 more
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Dynamic Keynesian Model of Economic Growth with Memory and Lag

Mathematics, 2019
A mathematical model of economic growth with fading memory and continuous distribution of delay time is suggested. This model can be considered as a generalization of the standard Keynesian macroeconomic model.
Vasily E. Tarasov, Valentina V. Tarasova   +1 more
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Numerical Solutions of Linear Abel Integral Equations Via Boubaker Polynomials Method

مجلة بغداد للعلوم
In this article, a numerical method based on Boubaker polynomials (BPs) was presented to solve the Linear Abel integral (LAI) Eqs of first and second types. The matrices were used to form the (LAI) Eq  into a system of linear Eqs.
Jalil Talab Abdullah, Haleema Swaidan Ali, Waleeda Swaidan Ali   +2 more
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New numerical method based on Generalized Bessel function to solve nonlinear Abel fractional differential equation of the first kind

Nonlinear Engineering, 2019
Fractional calculus and fractional differential equations (FDE) have many applications in different branches of sciences. But, often a real nonlinear FDE has not the exact or analytical solution and must be solved numerically.
Parand K., Nikarya M.
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A class of integral equations which generalize Abel’s equation [PDF]

Bulletin of the American Mathematical Society, 1945
Not ...
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Mathematical modeling of hereditary elastically deformable body on the basis of structural models and fractional integrodifferentiation Riemann-Liouville apparatus

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
The standard one-dimensional generalized model of a viscoelastic body and some of its special cases-Voigt, Maxwell, Kelvin and Zener models are considered. Based on the V. Volterra hypothesis of hereditary elastically deformable solid body and the method
Eugeniy N Ogorodnikov, Vladimir P Radchenko, Luiza G Ungarova   +2 more
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