Rothe's method for solving some fractional integral diffusion equation

DOI10.1016/J.AMC.2014.03.025zbMath1334.39048OpenAlexW1997324975MaRDI QIDQ273265

Abdur Raheem, Dhirendra Bahuguna

Publication date: 21 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.025

zbMATH Keywords

diffusion equationstrong solutionfractional integral equationmethod of semidiscretizationsemigroup of bounded linear operators

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)

Related Items (12)

Oscillation criteria for impulsive partial fractional differential equations ⋮ Method of time-discretization to a multiterm nonlinear retarded differential equation ⋮ Rothe's method for solving multi‐term Caputo–Katugampola fractional delay integral diffusion equations ⋮ Strong solutions to quasi-linear differential equations with deviating arguments ⋮ Approximate solutions for neutral stochastic fractional differential equations ⋮ Application of Rothe's method to some functional differential equations with Dirichlet boundary conditions ⋮ The Rothe method for multi-term time fractional integral diffusion equations ⋮ Solutions to Rayleigh-Love equation with constant coefficients and delay forcing term ⋮ Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An approximate solution to a class of impulsive fractional differential equations in a reflexive Banach space

Cites Work

• A study of delayed cooperation diffusion system with Dirichlet boundary conditions
• The method of lines applied to nonlinear nonlocal functional differential equations
• Convergence of Rothe's method in Hölder spaces.
• On a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function space
• The Rothe's method to a parabolic integrodifferential equation with a nonclassical boundary conditions
• Semigroups of linear operators and applications to partial differential equations
• Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation
• Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Rothe time-discretization method for a nonlocal problem arising in thermoelasticity
• Exact and approximate solutions of delay differential equations with nonlocal history conditions
• Nonlinear semigroups and evolution equations
• Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
• On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
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