Solving fractional diffusion and wave equations by modified homotopy perturbation method
الملخص
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
المجموعات
- الرياضيات والإحصاء والفيزياء [726 items ]
وثائق ذات صلة
عرض الوثائق المتصلة بواسطة: العنوان، المؤلف، المنشئ والموضوع.
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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 ... -
A generalized differential transform method for linear partial differential equations of fractional order
Odibat, Zaid; Momani, Shaher ( Elsevier B.V. , 2007 , Article)In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space- and time-fractional ... -
Application of homotopy-perturbation method to fractional IVPs
Abdulaziz, O.; Hashim, I.; Momani, S. ( Elsevier , 2008 , Article)Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become ...