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The Fractional Investigation of fornberg-whitham Equation Using an Efficient Technique

Computer Modeling in Engineering & Sciences 2023年第4期135卷 259-273页

作者： Hassan Khan Poom Kumam Asif Nawaz Qasim Khan Shahbaz Khan Department of Mathematics AbdulWali Khan UniversityMardan23200Pakistan Department of Mathematics Near East University TRNCMersin10Turkey Center of Excellence in Theoretical and Computational Science(TaCS-CoE)&KMUTTFixed Point Research Laboratory Room SCL 802 Fixed Point LaboratoryScience Laboratory BuildingDepartments of MathematicsFaculty of ScienceKing Mongkut’s University of Technology Thonburi(KMUTT)Bangkok10140Thailand Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402Taiwan

In the last few decades,it has become increasingly clear that fractional calculus always plays a very significant role in various branches of applied *** this reason,fractional partial differential equations(FPDEs)are of more importance to model the different physical processes in nature more ***,the analytical or numerical solutions to these problems are taken into serious consideration and several techniques or algorithms have been developed for their *** the current work,the idea of fractional calculus has been used,and fractional fornbergwhithamequation(FFWE)is represented in its fractional view ***-knownmethod which is residual power series method(RPSM),is then implemented to solve *** are discussed through graphs and tables which conform to the higher accuracy of the proposed *** solutions at different fractional orders are obtained and shown to be convergent toward an integer-order *** the RPSM procedure is simple and straightforward,it can be extended to solve other FPDEs and their systems.

关键词： Caputo derivative fractional partial differential equations fornberg-whitham residual power series method

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