Jarad, FahdSamad, AbdulSiddique, ImranJarad, Fahd2024-04-252024-04-252022Samad, Abdul; Siddique, Imran; Jarad, Fahd. (2022). "Meshfree numerical integration for some challenging multi-term fractional order PDEs", AIMS Mathematics, Vol.7, No.8, pp.14249-14269.24736988https://hdl.handle.net/20.500.12416/7925Fractional 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 Grünwald-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∞-norm. Stability and convergence analysis are also discussed.eninfo:eu-repo/semantics/openAccessCaputo And Gru¨Nwald-Letnikov DerivativesMulti-Term Fractional DerivativesRadial Basis Function MethodArticle7814249142690.3934/math.2022785