Sakar, Mehmet GiyasUludag, FatihErdogan, Fevzi2025-05-102025-05-1020160307-904X1872-848010.1016/j.apm.2016.02.0052-s2.0-84975735379https://doi.org/10.1016/j.apm.2016.02.005https://hdl.handle.net/20.500.14720/15388Sakar, Mehmet Giyas/0000-0002-1911-2622In this paper, homotopy perturbation method (HPM) is applied to solve fractional partial differential equations (PDEs) with proportional delay in t and shrinking in x. The method do not require linearization or small perturbation. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of alpha are presented graphically. (C) 2016 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/openAccessHomotopy Perturbation MethodFractional Partial Differential EquationProportional DelayCaputo DerivativeArticle4013-14Q1Q166396649WOS:000377921900031