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- Title
AN ITERATIVE METHOD FOR SOLVING TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS.
- Authors
MALLICK, B.; SAHU, P. K.; ROUTARAY, M.
- Abstract
This article deals with an iterative method which is a new formulation of Adomian decomposition method for solving time-fractional partial differential equations (TFPDEs) with proportional delays. The fractional derivative taken here is in Caputo sense. Daftardar-Gejji and Jafari (2006) proposed this new technique where the non-linearity is defined by using the new formula of Adomian polynomials and the new iterative formula (NIF) is independent of λ. It does not require any discretization, per-turbation, or any restrictive parameters. It is shown that the NIF converges rapidly to the exact solutions. Three test problems have been illustrated in order to confirm the efficiency and validity of NIF.
- Subjects
DECOMPOSITION method; FRACTIONAL calculus; NONLINEAR equations
- Publication
TWMS Journal of Applied & Engineering Mathematics, 2023, Vol 13, Issue 1, p74
- ISSN
2146-1147
- Publication type
Article