Solving fractional diffusion and wave equations by modified homotopy perturbation method
View/ Open
Publisher version (Check access options)
Check access options
Date
2007-05-31Metadata
Show full item recordAbstract
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method
Collections
- Mathematics, Statistics & Physics [740 items ]
Related items
Showing items related by title, author, creator and subject.
-
On the existence of positive solutions for generalized fractional boundary value problems
Seemab A.; Ur Rehman M.; Alzabut J.; Hamdi A. ( Springer , 2019 , Article)The existence of positive solutions is established for boundary value problems defined within generalized Riemann–Liouville and Caputo fractional operators. Our approach is based on utilizing the technique of fixed point ... -
Prevalence of microplastics in the marine waters of Qatar
Castillo, Azenith B.; Al-Maslamani, Ibrahim; Obbard, Jeffrey Philip ( Elsevier Ltd , 2016 , Article)Microplastics are firmly recognized as a ubiquitous and growing threat to marine biota and their associated marine habitats worldwide. The evidence of the prevalence of microplastics was documented for the first time in ... -
A robust high-resolution time-frequency representation based on the local optimization of the short-time fractional Fourier transform
Awal, Md Abdul; Ouelha, Samir; Dong, Shiying; Boashash, B. ( Elsevier Inc. , 2017 , Article)The Locally Optimized Spectrogram (LOS) defines a novel method for obtaining a high-resolution time-frequency (t,f) representation based on the short-time fractional Fourier transform (STFrFT). The key novelty of the LOS ...