Novel technique for solving nonlinear fractional differential equations via ANN

Mohammed, Maha A.; Khamas, A. H.; Tawfiq, Luma N. M.

doi:10.47974/JIM-2562

Open Access Research Article

Novel technique for solving nonlinear fractional differential equations via ANN

Maha A. Mohammedmaha.aj.m@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, 10071, IraqView full profile → , A. H. Khamasdr.aseel@uomustansiriyah.edu.iqDepartment of Clinical Laboratory SciencesCollege of PharmacyMustansiriyah UniversityBaghdad, 10052, IraqView full profile → , ^*Luma N. M. TawfiqCorresponding authorluma.n.m@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, 10071, IraqView full profile →

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pp. 1689–1696Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2562XML

Received:: 01 Nov 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2562
Pages:: 1689–1696

Abstract

A novel, computationally efficient technique is suggested to find exact solution of nonlinear differential equations with order is fractional, This technique is extended to fractional partial differential equations and demonstrates high accuracy of implementation. Numerical experiments confirm its efficiency and reveal key advantages over existing approaches: it obviates the need for Adomian polynomials in handling nonlinear terms, as required by the ADM, and eliminates the use of Lagrange multipliers characteristic of the VIM.

Keywords

Partial differential equations ANNs Fractional equations Decomposition method

Subject Classifications

37Dxx76Fxx

References

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