$Homotopy analysis method for solving Abel differential equation of fractional order$

Homotopy analysis method for solving Abel differential equation of fractional order

Bibliographic Details
Main Authors:	Jafari Hossein, Sayevand Khosro, Tajadodi Haleh, Baleanu Dumitru
Format:	Article
Language:	English
Published:	De Gruyter 2013-10-01
Series:	Open Physics
Subjects:	abel differential equation fractional derivative homotopy analysis method
Online Access:	https://doi.org/10.2478/s11534-013-0209-1

Similar Items

Homotopy analysis transform method for solving Abel’s integral equations of the first kind
by: Samad Noeiaghdam, et al.
Published: (2016-03-01)

Solving Abel integral equations of first kind via fractional calculus
by: Salman Jahanshahi, et al.
Published: (2015-04-01)

A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets
by: Dumitru Baleanu, et al.
Published: (2019-06-01)

Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations
by: Shumaila Javeed, et al.
Published: (2019-01-01)

An Application of the Homotopy Analysis Method for the Time- or Space-Fractional Heat Equation
by: Rafał Brociek, et al.
Published: (2023-03-01)

Homotopy perturbation method for solving time-fractional nonlinear Variable-Order Delay Partial Differential Equations
by: Adnan K. Farhood, et al.
Published: (2023-06-01)

Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations
by: Baghdad Science Journal
Published: (2014-12-01)

The Optimal Homotopy Asymptotic Method for Solving Two Strongly Fractional-Order Nonlinear Benchmark Oscillatory Problems
by: Mohd Taib Shatnawi, et al.
Published: (2021-09-01)

Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains
by: Yu Zhang, et al.
Published: (2015-10-01)

An Analytic Study on Time-Fractional Fisher Equation using Homotopy Perturbation Method
by: Xindong ZHANG, et al.
Published: (2014-01-01)

Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations
by: Figen Özpınar
Published: (2018-05-01)

Application of Asymptotic Homotopy Perturbation Method to Fractional Order Partial Differential Equation
by: Haji Gul, et al.
Published: (2021-11-01)

An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method
by: Pattira Sripacharasakullert, et al.
Published: (2019-06-01)

An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space
by: Mohammed Al-Smadi, et al.
Published: (2021-05-01)

Numerical Analysis for the Fractional Ambartsumian Equation via the Homotopy Herturbation Method
by: Weam Alharbi, et al.
Published: (2020-12-01)

Application of the Optimal Homotopy Asymptotic Approach for Solving Two-Point Fuzzy Ordinary Differential Equations of Fractional Order Arising in Physics
by: Ali Fareed Jameel, et al.
Published: (2023-04-01)

Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order
by: Johnston S. J., et al.
Published: (2016-01-01)

Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets
by: Shehu Maitama, et al.
Published: (2019-03-01)

Homotopy-Sumudu transforms for solving system of fractional partial differential equations
by: A. K. Alomari
Published: (2020-05-01)

Optimal homotopy asymptotic method for solving several models of first order fuzzy fractional IVPs
by: Dulfikar Jawad Hashim, et al.
Published: (2022-06-01)

Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method
by: Ghaliah Alhamzi, et al.
Published: (2024-02-01)

A Fractional Model of Bloch Equation in Nuclear Magnetic Resonance and its Analytic Approximate Solution
by: Sunil KUMAR, et al.
Published: (2013-10-01)

Homotopy Analysis Method for the Time-Fractional Boussinesq Equation
by: He Yang
Published: (2020-03-01)

Numerical solution of fractional differential equations by using fractional B-spline
by: Jafari Hossein, et al.
Published: (2013-10-01)

Homotopy Analysis Method for Solving Multi-Fractional Order Random Ordinary Differential Equations
by: Sahar Mohammed, et al.
Published: (2023-12-01)

Numerical Solution of Time-Fractional Emden–Fowler-Type Equations Using the Rational Homotopy Perturbation Method
by: Kholoud Saad Albalawi, et al.
Published: (2023-01-01)

Homotopy analysis method for solving KdV equations
by: Hossein Jafari, et al.
Published: (2010-06-01)

Quadratic parameter homotopy function for solving polynomial equations
by: Hafizudin Mohamad Nor, et al.
Published: (2021-02-01)

Fractional sub-equation method for the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation
by: Jafari Hossein, et al.
Published: (2013-10-01)

A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
by: Sajad Iqbal, et al.
Published: (2022-11-01)

CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
by: R. Ezzati, et al.
Published: (2017-12-01)

An Approach for Approximating Analytical Solutions of the Navier-Stokes Time-Fractional Equation Using the Homotopy Perturbation Sumudu Transform’s Strategy
by: Sajad Iqbal, et al.
Published: (2023-10-01)

Application of Aboodh Homotopy Perturbation Transform Method for Fractional-Order Convection–Reaction–Diffusion Equation within Caputo and Atangana–Baleanu Operators
by: Humaira Yasmin
Published: (2023-02-01)

Genocchi polynomials as a tool for solving a class of fractional optimal control problems
by: Haleh Tajadodi, et al.
Published: (2022-07-01)

Homotopy Analysis Method for Fractional Reaction-Diffusion Equation with Ecological Parameters
by: Zaffar MEHMOOD, et al.
Published: (2013-10-01)

The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
by: Muhammad Taufik Abdillah, et al.
Published: (2023-07-01)

Homotopy Analysis Method for Time-Fractional Schrödinger Equations
by: Nauman ASGHAR, et al.
Published: (2012-11-01)

Homotopy Perturbation Method For Fractional Shallow Water Equations
by: Kamel Al-Khaled, et al.
Published: (2014-06-01)

Application of Homotopy Analysis Transform Method for Solving a Fractional Singular One-Dimensional Thermo-Elasticity Coupled System
by: Said Mesloub
Published: (2023-10-01)

New homotopy analysis transform method for solving multidimensional fractional diffusion equations
by: Shehu Maitama, et al.
Published: (2020-01-01)