New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations
AbstractThis paper introduces a new analytical technique (NAT) for solving a system of nonlinear fractional partial differential equations (NFPDEs) in full general set. Moreover, the convergence and error analysis of the proposed technique is shown. The approximate solutions for a system of NFPDEs are easily obtained by means of Caputo fractional partial derivatives based on the properties of fractional calculus. However, analytical and numerical traveling wave solutions for some systems of nonlinear wave equations are successfully obtained to confirm the accuracy and efficiency of the proposed technique. Several numerical results are presented in the format of tables and graphs to make a comparison with results previously obtained by other well-known methods. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Thabet, H.; Kendre, S.; Chalishajar, D. New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations. Mathematics 2017, 5, 47.
Thabet H, Kendre S, Chalishajar D. New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations. Mathematics. 2017; 5(4):47.Chicago/Turabian Style
Thabet, Hayman; Kendre, Subhash; Chalishajar, Dimplekumar. 2017. "New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations." Mathematics 5, no. 4: 47.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.