Convergence of fractional differential equations using efficient technique

Ali, Adel Rashed A.

doi:10.47974/JIM-2541

Open Access Research Article

Convergence of fractional differential equations using efficient technique

^*Adel Rashed A. AliCorresponding authoradil.r.a@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, 10070, IraqView full profile →

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pp. 1515–1518Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2541XML

Received:: 01 Nov 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2541
Pages:: 1515–1518

Abstract

Differential equations play a role in Applied Physics; it’s not always feasible to find analytical solutions for nonlinear partial differential equations when dealing with certain phenomena. In this instance, we provide series solutions using a semi-analytical approach. These approaches’ solutions are looked for as series. The basic principle of semi-analytical approaches is to determine the series’ other terms from specified initial conditions. Some semi-analytic techniques can achieve extremely good convergence with only a few series terms, but other issues may require more terms to improve convergence to the analytical solution. This study uses the Variational Iteration Adomian Decomposition Method (VIADM) to investigate the convergence of approximate-analytical solutions of certain kinds of nonlinear differential equations.

Keywords

Laplace transform Semi analytical method Ordinary differential equations Fractional order

Subject Classifications

35R1135R60

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