A new approach for the approximate solution of fractional integro-differential equations

DOI10.21915/BIMAS.2021301zbMath1484.35139OpenAlexW3213317558WikidataQ115230329 ScholiaQ115230329MaRDI QIDQ5033259

Ali Demir, Mine Aylin Bayrak

Publication date: 22 February 2022

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2021301

zbMATH Keywords

Caputo derivativeresidual power series methodspace-time fractional integro-differential equations

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• New results on fractional power series: theories and applications
• A novel expansion iterative method for solving linear partial differential equations of fractional order
• Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new analytical modelling for fractional telegraph equation via Laplace transform
• Homotopy perturbation method for two dimensional time-fractional wave equation
• On the solutions of a nonlinear fractional integro-differential equation of pantograph type
• Application of variational iteration method to nonlinear differential equations of fractional order
• A reliable analytical method for solving higher-order initial value problems
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Analytical solution for a generalized space-time fractional telegraph equation
• Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel
• The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method
• Advances in Fractional Calculus
• Fractional‐order orthogonal Bernstein polynomials for numerical solution of nonlinear fractional partial Volterra integro‐differential equations

This page was built for publication: A new approach for the approximate solution of fractional integro-differential equations