Samad, AbdulJarad, FahdSiddique, ImranJarad, FahdMatematik2024-04-252024-04-252022Samad, Abdul; Siddique, Imran; Jarad, Fahd. (2022). "Meshfree numerical integration for some challenging multi-term fractional order PDEs", AIMS Mathematics, Vol.7, No.8, pp.14249-14269.2473-6988https://doi.org/10.3934/math.2022785Samad, Abdul/0000-0002-0887-9860Fractional partial differential equations (PDEs) have key role in many physical, chemical, biological and economic problems. Different numerical techniques have been adopted to deal the multi-term FPDEs. In this article, the meshfree numerical scheme, Radial basis function (RBF) is discussed for some time-space fractional PDEs. The meshfree RBF method base on the Gaussian function and is used to test the numerical results of the time-space fractional PDE problems. Riesz fractional derivative and Grunwald-Letnikov fractional derivative techniques are used to deal the space fractional derivative terms while the time-fractional derivatives are iterated by Caputo derivative method. The accuracy of the suggested scheme is analyzed by using L-infinity-norm. Stability and convergence analysis are also discussed.eninfo:eu-repo/semantics/openAccessMulti-Term Fractional DerivativesCaputo And Grunwald-Letnikov DerivativesRadial Basis Function MethodArticle78142491426910.3934/math.20227852-s2.0-85131557684WOS:000810758800001Q1Q1