scholarly journals A blowup alternative result for fractional nonautonomous evolution equation of Volterra type

2018 ◽  
Vol 17 (5) ◽  
pp. 1975-1992 ◽  
Author(s):  
Pengyu Chen ◽  
◽  
Xuping Zhang ◽  
Yongxiang Li
Keyword(s):  
Evolution Equation ◽  
Volterra Type ◽  
Alternative Result

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

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