Litcius/Paper detail

On the iterative methods for solving fractional initial value problems: new perspective

Qasem M. Al‐Mdallal, Mohamed Ali Hajji, Thabet Abdeljawad

2021Journal of Fractional Calculus and Nonlinear Systems33 citationsDOIOpen Access PDF

Abstract

In this short communication, we introduce a new perspective for a numerical solution of fractional initial value problems (FIVPs). Basically, we split the considered FIVP into FIVPs on subdomains which can be solved iteratively to obtain the approximate solution for the whole domain.

Topics & Concepts

Perspective (graphical)Value (mathematics)Initial value problemMathematical optimizationApplied mathematicsMathematicsDomain (mathematical analysis)Iterative methodComputer scienceMathematical analysisGeometryStatisticsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisIterative Methods for Nonlinear Equations