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Analytical solution of fuzzy heat problem in two-dimensional case under Caputo-type fractional derivative. [PDF]

PLoS One
Nadeem M, Yilin C, Kumar D, Alsayyad Y.
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A novel hybrid method with convergence analysis for approximation of HTLV-I dynamics model. [PDF]

Sci Rep
Molavi-Arabshahi M, Rashidinia J, Yousefi M.   +2 more
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The Cauchy problem for the nonlinear integro-partial differential equation that describes the time evolution of sociodynamic quantities (Qualitative theory of functional equations and its application to mathematical science)

The Cauchy problem for the nonlinear integro-partial differential equation that describes the time evolution of sociodynamic quantities (Qualitative theory of functional equations and its application to mathematical science)
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Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations

Mathematics and Computers in Simulation, 2023
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Natesan Srinivasan, Sandip Maji
exaly   +3 more sources

The Cauchy problem for the nonlinear integro-partial differential equation in quantitative sociodynamics

Applied Mathematics and Computation, 2002
The authors derive asymptotic estimates for solutions to the Cauchy problem for the generic (``master'') partial integro-differential equation \[ \partial v(t, x)/\partial t= -w(t, x)v(t,x)+ \int_{v\in D} W(t; x| y) v(t,y)\,dy, \] where \(D\subset\mathbb{R}^2\) is bounded and Lebesgue measurable; the kernel \(W(t;x| y)\) describes the transition rate ...
Minoru Tabata, Nobuoki Eshima
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Numerical integration of a nonlinear, singular integro-partial differential equation

Journal of Computational Physics, 1970
Abstract A method for numerical integration of a nonlinear, singular integro-partial differential equation is presented. The method consists in evaluating the singular integral by a least-squares approximation technique. A predictor-corrector formula is employed to integrat- the ordinary differential equations obtained after the spatial ...
Prasad, K. Krishna, Hering, R. G.
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The nonlinear integro-partial differential equation describing the logistic growth of human population with migration

Applied Mathematics and Computation, 1999
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Minoru Tabata, Nobuoki Eshima, Ichiro Takagi   +2 more
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Initial boundary value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1994
The authors study the global existence of classical solutions of a certain problem which occurs in the theory of nonlinear vibrations of finite rods with nonlinear viscoelasticity. This phenomenon is described by an initial-boundary value problem (with the boundary conditions \(u(t,a) = 0\), \(u(t,b) = 0\), for all \(t)\) for the integro-partial ...
Cui, Shangbin, Qu, Changzheng
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Initial value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1999
Under certain regularity conditions on the coefficients, it is shown that the initial-value problem \[ \begin{cases} u_{tt}-au_{xxt}-p(u_x)_x-\int_0^t\lambda(t-s)q(u_x)_x ds=f(x,t),\\ \left.u\right|_{t=0}=\varphi(x),\;\left.u_t\right|_{t=0}=\psi(x),\end{cases} \] where \(x\in{\mathbb R}\) and \(t>0\), has a global classical solution. The proof is based
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Modeling, Analysis and Optimization of Particle Growth, Nucleation and Ripening by the Way of Nonlinear Hyperbolic Integro-Partial Differential Equations

2014
We consider the processes of particle nucleation, growth, precipitation and ripening via modeling by nonlinear 1-D hyperbolic partial integro differential equations. The goal of this contribution is to provide a concise predictive forward modeling of the processes including appropriate goal functions and to establish a mathematical theory for the open ...
Michael Gröschel, Wolfgang Peukert, Günter Leugering   +2 more
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