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B‐spline solution of fractional integro partial differential equation with a weakly singular kernel

Numerical Methods for Partial Differential Equations, 2017
The main objective of the paper is to find the approximate solution of fractional integro partial differential equation with a weakly singular kernel. Integro partial differential equation (IPDE) appears in the study of viscoelastic phenomena. Cubic B‐spline collocation method is employed for fractional IPDE.
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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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The nonlinear integro-partial differential equation describing the logistic growth of human population with migration

Applied Mathematics and Computation, 1999
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Tabata, Minoru, Eshima, Nobuoki, Takagi, Ichiro   +2 more
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Regularized asymptotic solutions of the initial problem for the system of integro-partial differential equations

Mathematical Notes, 2017
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Bobodzhanov, A. A., Safonov, V. F.
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Integro-partial differential equation models for cell-cell adhesion and its application

2018
In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations).
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Neural Network for Solving Integro Partial Differential Equation

2022 2nd International Conference on Computing and Machine Intelligence (ICMI), 2022
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Simultaneous space–time Hermite wavelet method for time-fractional nonlinear weakly singular integro-partial differential equations

Communications in Nonlinear Science and Numerical Simulation
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Sudarshan Santra, Ratikanta Behera
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Approximation of integro-partial differential equations of hyperbolic type

2017
Ph. D.
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Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method

Theoretical and Mathematical Physics
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Numerical Simulation for Time Fractional Integro Partial Differential Equations Arising in Viscoelastic Dynamical System

2023
Jugal Mohapatra, Sudarshan Santra
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