Document Details

Document Type : Thesis 
Document Title :
ANALYTICAL METHODS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
طرق تحليلية لمعادلات تفاضلية كسرية غير خطية
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : Nonlinear fractional partial differential equations (NFPDEs) are generalization of the classical nonlinear partial differential equations (NPDEs) of integer order. In recent years, NFPDEs become one of the hottest topics for mathematician and other scientists because they are widely used to describe large number of new complex phenomena in many fields. Four analytical methods, precisely the sub-equation method, the fractional sub-equation method, the G'/G -expansion method and the (D^α G)/G-expansion method, are used to find new exact solutions to six well-known homogenous nonlinear space-time fractional partial differential equations. They are the space-time fractional modified Benjamin-Bona-Mahoney (mBBM) equation, the modified Burgers’ equation, the Sharma-Tasso-Olver (STO) equation, the Fifth-Order Sawada-Kotera equation, the KdV Burgers’ equation and the Symmetric Regularized Long Wave (SRLW) equation. Comparing the solutions found for each equation by the four methods, leads to important observations which relate the values of the coefficients in each equation solved by the four methods. The full descriptions is stated at end of this thesis. 
Supervisor : DR. LUWAI A. WAZZAN 
Thesis Type : Doctorate Thesis 
Publishing Year : 1438 AH
2016 AD 
Added Date : Thursday, December 22, 2016 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
وليد محمد الحمدانAL-HAMDAN, WALEED MOHAMMADResearcherDoctorate 

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