Homotopy perturbation method for solving Caputo‐type fractional‐order Volterra‐Fredholm integro‐differential equations. Issue 5 (10th July 2019)

• Record Type: Journal Article
• Authors: Das, Pratibhamoy; Rana, Subrata; Ramos, Higinio
• Is Part Of: Computational and mathematical methods. Volume 1:Issue 5(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-07-10
• Subjects: approximation method -- Caputo fractional derivative -- integro‐differential equation -- homotopy perturbation -- Volterra‐Fredholm equation; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1047
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : This work considers the solution of fractional Volterra‐Fredholm integro‐differential equations. Here, we consider the approximation of the solution based on semi‐analytical approaches. We use the homotopy perturbation method approach for this purpose. It is observed through different examples that the adopted strategy is not only an effective tool for approximation of the solution but also can lead to the exact solution of certain problems.